Ref/stats-Phpdoc专题
stats_absolute_deviation
Returns the absolute deviation of an array of values
说明
float <span
class="methodname">stats_absolute_deviation ( <span
class="methodparam">array $a )
Returns the absolute deviation of the values in a.
参数
a
The input array
返回值
Returns the absolute deviation of the values in a, or false if
a is empty or is not an array.
stats_cdf_beta
Calculates any one parameter of the beta distribution given values for the others
说明
float <span
class="methodname">stats_cdf_beta ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the beta distribution. The kind of the return value and
parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, alpha, and beta denotes cumulative distribution function, the
value of the random variable, and shape parameters of the beta
distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | alpha | beta |
| 2 | x | CDF | alpha | beta |
| 3 | alpha | x | CDF | beta |
| 4 | beta | x | CDF | alpha |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, alpha, or beta, determined by which.
stats_cdf_binomial
Calculates any one parameter of the binomial distribution given values for the others
说明
float <span
class="methodname">stats_cdf_binomial ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the binomial distribution. The kind of the return value
and parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, n, and p denotes cumulative distribution function, the number of
successes, the number of trials, and the success rate for each trial,
respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | n | p |
| 2 | x | CDF | n | p |
| 3 | n | x | CDF | p |
| 4 | p | x | CDF | n |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, n, or p, determined by which.
stats_cdf_cauchy
Calculates any one parameter of the Cauchy distribution given values for the others
说明
float <span
class="methodname">stats_cdf_cauchy ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the Cauchy distribution. The kind of the return value and
parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, x0, and gamma denotes cumulative distribution function, the
value of the random variable, the location and the scale parameter of
the Cauchy distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | x0 | gamma |
| 2 | x | CDF | x0 | gamma |
| 3 | x0 | x | CDF | gamma |
| 4 | gamma | x | CDF | x0 |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, x0, or gamma, determined by which.
stats_cdf_chisquare
Calculates any one parameter of the chi-square distribution given values for the others
说明
float <span
class="methodname">stats_cdf_chisquare ( <span
class="methodparam">float $par1 ,
float $par2
, int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the chi-square distribution. The kind of the return value
and parameters (par1 and par2) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, and k denotes cumulative distribution function, the value of the
random variable, and the degree of freedom of the chi-square
distribution, respectively.
which |
Return value | par1 |
par2 |
|---|---|---|---|
| 1 | CDF | x | k |
| 2 | x | CDF | k |
| 3 | k | x | CDF |
参数
par1
The first parameter
par2
The second parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, or k, determined by which.
stats_cdf_exponential
Calculates any one parameter of the exponential distribution given values for the others
说明
float <span
class="methodname">stats_cdf_exponential ( <span
class="methodparam">float $par1 ,
float $par2
, int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the exponential distribution. The kind of the return
value and parameters (par1 and par2) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, and lambda denotes cumulative distribution function, the value
of the random variable, and the rate parameter of the exponential
distribution, respectively.
which |
Return value | par1 |
par2 |
|---|---|---|---|
| 1 | CDF | x | lambda |
| 2 | x | CDF | lambda |
| 3 | lambda | x | CDF |
参数
par1
The first parameter
par2
The second parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, or lambda, determined by which.
stats_cdf_f
Calculates any one parameter of the F distribution given values for the others
说明
float <span
class="methodname">stats_cdf_f ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the F distribution. The kind of the return value and
parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, d1, and d2 denotes cumulative distribution function, the value
of the random variable, and the degree of freedoms of the F
distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | d1 | d2 |
| 2 | x | CDF | d1 | d2 |
| 3 | d1 | x | CDF | d2 |
| 4 | d2 | x | CDF | d1 |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, d1, or d2, determined by which.
stats_cdf_gamma
Calculates any one parameter of the gamma distribution given values for the others
说明
float <span
class="methodname">stats_cdf_gamma ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the gamma distribution. The kind of the return value and
parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, k, and theta denotes cumulative distribution function, the value
of the random variable, and the shape and the scale parameter of the
gamma distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | k | theta |
| 2 | x | CDF | k | theta |
| 3 | k | x | CDF | theta |
| 4 | theta | x | CDF | k |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, k, or theta, determined by which.
stats_cdf_laplace
Calculates any one parameter of the Laplace distribution given values for the others
说明
float <span
class="methodname">stats_cdf_laplace ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the Laplace distribution. The kind of the return value
and parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, mu, and b denotes cumulative distribution function, the value of
the random variable, and the location and the scale parameter of the
Laplace distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | mu | b |
| 2 | x | CDF | mu | b |
| 3 | mu | x | CDF | b |
| 4 | b | x | CDF | mu |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, mu, or b, determined by which.
stats_cdf_logistic
Calculates any one parameter of the logistic distribution given values for the others
说明
float <span
class="methodname">stats_cdf_logistic ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the logistic distribution. The kind of the return value
and parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, mu, and s denotes cumulative distribution function, the value of
the random variable, and the location and the scale parameter of the
logistic distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | mu | s |
| 2 | x | CDF | mu | s |
| 3 | mu | x | CDF | s |
| 4 | s | x | CDF | mu |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, mu, or s, determined by which.
stats_cdf_negative_binomial
Calculates any one parameter of the negative binomial distribution given values for the others
说明
float <span
class="methodname">stats_cdf_negative_binomial ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the negative binomial distribution. The kind of the
return value and parameters (par1, par2, and par3) are determined
by which.
The following table lists the return value and parameters by which.
CDF, x, r, and p denotes cumulative distribution function, the number of
failure, the number of success, and the success rate for each trial,
respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | r | p |
| 2 | x | CDF | r | p |
| 3 | r | x | CDF | p |
| 4 | p | x | CDF | r |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, r, or p, determined by which.
stats_cdf_noncentral_chisquare
Calculates any one parameter of the non-central chi-square distribution given values for the others
说明
float <span
class="methodname">stats_cdf_noncentral_chisquare ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the non-central chi-square distribution. The kind of the
return value and parameters (par1, par2, and par3) are determined
by which.
The following table lists the return value and parameters by which.
CDF, x, k, and lambda denotes cumulative distribution function, the
value of the random variable, the degree of freedom and the
non-centrality parameter of the distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | k | lambda |
| 2 | x | CDF | k | lambda |
| 3 | k | x | CDF | lambda |
| 4 | lambda | x | CDF | k |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, k, or lambda, determined by which.
stats_cdf_noncentral_f
Calculates any one parameter of the non-central F distribution given values for the others
说明
float <span
class="methodname">stats_cdf_noncentral_f ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , <span
class="type">float $par4 , <span
class="methodparam">int $which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the non-central F distribution. The kind of the return
value and parameters (par1, par2, par3, and par4) are determined
by which.
The following table lists the return value and parameters by which.
CDF, x, nu1, nu2, and lambda denotes cumulative distribution function,
the value of the random variable, the degree of freedoms and the
non-centrality parameter of the distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
par4 |
|---|---|---|---|---|---|
| 1 | CDF | x | nu1 | nu2 | lambda |
| 2 | x | CDF | nu1 | nu2 | lambda |
| 3 | nu1 | x | CDF | nu2 | lambda |
| 4 | nu2 | x | CDF | nu1 | lambda |
| 5 | lambda | x | CDF | nu1 | nu2 |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
par4
The fourth parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, nu1, nu2, or lambda, determined by which.
stats_cdf_noncentral_t
Calculates any one parameter of the non-central t-distribution give values for the others
说明
float <span
class="methodname">stats_cdf_noncentral_t ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the non-central t-distribution. The kind of the return
value and parameters (par1, par2, and par3) are determined by
which.
The following table lists the return value and parameters by which.
CDF, x, nu, and mu denotes cumulative distribution function, the value
of the random variable, the degrees of freedom and the non-centrality
parameter of the distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | nu | mu |
| 2 | x | CDF | nu | mu |
| 3 | nu | x | CDF | mu |
| 4 | mu | x | CDF | nu |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, nu, or mu, determined by which.
stats_cdf_normal
Calculates any one parameter of the normal distribution given values for the others
说明
float <span
class="methodname">stats_cdf_normal ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the normal distribution. The kind of the return value and
parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, mu, and sigma denotes cumulative distribution function, the
value of the random variable, the mean and the standard deviation of the
normal distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | mu | sigma |
| 2 | x | CDF | mu | sigma |
| 3 | mu | x | CDF | sigma |
| 4 | sigma | x | CDF | mu |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, mu, or sigma, determined by which.
stats_cdf_poisson
Calculates any one parameter of the Poisson distribution given values for the others
说明
float <span
class="methodname">stats_cdf_poisson ( <span
class="methodparam">float $par1 ,
float $par2
, int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the Poisson distribution. The kind of the return value
and parameters (par1 and par2) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, and lambda denotes cumulative distribution function, the value
of the random variable, and the parameter of the Poisson distribution,
respectively.
which |
Return value | par1 |
par2 |
|---|---|---|---|
| 1 | CDF | x | lambda |
| 2 | x | CDF | lambda |
| 3 | lambda | x | CDF |
参数
par1
The first parameter
par2
The second parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, or lambda, determined by which.
stats_cdf_t
Calculates any one parameter of the t-distribution given values for the others
说明
float <span
class="methodname">stats_cdf_t ( <span
class="methodparam">float $par1 ,
float $par2
, int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the t-distribution. The kind of the return value and
parameters (par1 and par2) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, and nu denotes cumulative distribution function, the value of
the random variable, and the degrees of freedom of the t-distribution,
respectively.
which |
Return value | par1 |
par2 |
|---|---|---|---|
| 1 | CDF | x | nu |
| 2 | x | CDF | nu |
| 3 | nu | x | CDF |
参数
par1
The first parameter
par2
The second parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, or nu, determined by which.
stats_cdf_uniform
Calculates any one parameter of the uniform distribution given values for the others
说明
float <span
class="methodname">stats_cdf_uniform ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the uniform distribution. The kind of the return value
and parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, a, and b denotes cumulative distribution function, the value of
the random variable, the lower bound and the higher bound of the uniform
distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | a | b |
| 2 | x | CDF | a | b |
| 3 | a | x | CDF | b |
| 4 | b | x | CDF | a |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, a, or b, determined by which.
stats_cdf_weibull
Calculates any one parameter of the Weibull distribution given values for the others
说明
float <span
class="methodname">stats_cdf_weibull ( <span
class="methodparam">float $par1 ,
float $par2
, float
$par3 , int
$which )
Returns the cumulative distribution function, its inverse, or one of its
parameters, of the Weibull distribution. The kind of the return value
and parameters (par1, par2, and par3) are determined by which.
The following table lists the return value and parameters by which.
CDF, x, k, and lambda denotes cumulative distribution function, the
value of the random variable, the shape and the scale parameter of the
Weibull distribution, respectively.
which |
Return value | par1 |
par2 |
par3 |
|---|---|---|---|---|
| 1 | CDF | x | k | lambda |
| 2 | x | CDF | k | lambda |
| 3 | k | x | CDF | lambda |
| 4 | lambda | x | CDF | k |
参数
par1
The first parameter
par2
The second parameter
par3
The third parameter
which
The flag to determine what to be calculated
返回值
Returns CDF, x, k, or lambda, determined by which.
stats_covariance
Computes the covariance of two data sets
说明
float <span
class="methodname">stats_covariance ( <span
class="methodparam">array $a , <span
class="methodparam">array $b )
Returns the covariance of a and b.
参数
a
The first array
b
The second array
返回值
Returns the covariance of a and b, or false on failure.
stats_dens_beta
Probability density function of the beta distribution
说明
float <span
class="methodname">stats_dens_beta ( <span
class="methodparam">float $x , <span
class="methodparam">float $a , <span
class="methodparam">float $b )
Returns the probability density at x, where the random variable
follows the beta distribution of which the shape parameters are a and
b.
参数
x
The value at which the probability density is calculated
a
The shape parameter of the distribution
b
The shape parameter of the distribution
返回值
The probability density at x or false for failure.
stats_dens_cauchy
Probability density function of the Cauchy distribution
说明
float <span
class="methodname">stats_dens_cauchy ( <span
class="methodparam">float $x , <span
class="methodparam">float $ave ,
float
$stdev )
Returns the probability density at x, where the random variable
follows the Cauchy distribution whose location and scale are ave and
stdev, respectively.
参数
x
The value at which the probability density is calculated
ave
The location parameter of the distribution
stdev
The scale parameter of the distribution
返回值
The probability density at x or false for failure.
stats_dens_chisquare
Probability density function of the chi-square distribution
说明
float <span
class="methodname">stats_dens_chisquare ( <span
class="methodparam">float $x , <span
class="methodparam">float $dfr )
Returns the probability density at x, where the random variable
follows the chi-square distribution of which the degree of freedom is
dfr.
参数
x
The value at which the probability density is calculated
dfr
The degree of freedom of the distribution
返回值
The probability density at x or false for failure.
stats_dens_exponential
Probability density function of the exponential distribution
说明
float <span
class="methodname">stats_dens_exponential ( <span
class="methodparam">float $x , <span
class="methodparam">float $scale )
Returns the probability density at x, where the random variable
follows the exponential distribution of which the scale is scale.
参数
x
The value at which the probability density is calculated
scale
The scale of the distribution
返回值
The probability density at x or false for failure.
stats_dens_f
Probability density function of the F distribution
说明
float <span
class="methodname">stats_dens_f ( <span
class="methodparam">float $x , <span
class="methodparam">float $dfr1 ,
float $dfr2
)
Returns the probability density at x, where the random variable
follows the F distribution of which the degree of freedoms are dfr1
and dfr2.
参数
x
The value at which the probability density is calculated
dfr1
The degree of freedom of the distribution
dfr2
The degree of freedom of the distribution
返回值
The probability density at x or false for failure.
stats_dens_gamma
Probability density function of the gamma distribution
说明
float <span
class="methodname">stats_dens_gamma ( <span
class="methodparam">float $x , <span
class="methodparam">float $shape ,
float
$scale )
Returns the probability density at x, where the random variable
follows the gamma distribution of which the shape parameter is shape
and the scale parameter is scale.
参数
x
The value at which the probability density is calculated
shape
The shape parameter of the distribution
scale
The scale parameter of the distribution
返回值
The probability density at x or false for failure.
stats_dens_laplace
Probability density function of the Laplace distribution
说明
float <span
class="methodname">stats_dens_laplace ( <span
class="methodparam">float $x , <span
class="methodparam">float $ave ,
float
$stdev )
Returns the probability density at x, where the random variable
follows the Laplace distribution of which the location parameter is
ave and the scale parameter is stdev.
参数
x
The value at which the probability density is calculated
ave
The location parameter of the distribution
stdev
The shape parameter of the distribution
返回值
The probability density at x or false for failure.
stats_dens_logistic
Probability density function of the logistic distribution
说明
float <span
class="methodname">stats_dens_logistic ( <span
class="methodparam">float $x , <span
class="methodparam">float $ave ,
float
$stdev )
Returns the probability density at x, where the random variable
follows the logistic distribution of which the location parameter is
ave and the scale parameter is stdev.
参数
x
The value at which the probability density is calculated
ave
The location parameter of the distribution
stdev
The shape parameter of the distribution
返回值
The probability density at x or false for failure.
stats_dens_normal
Probability density function of the normal distribution
说明
float <span
class="methodname">stats_dens_normal ( <span
class="methodparam">float $x , <span
class="methodparam">float $ave ,
float
$stdev )
Returns the probability density at x, where the random variable
follows the normal distribution of which the mean is ave and the
standard deviation is stdev.
参数
x
The value at which the probability density is calculated
ave
The mean of the distribution
stdev
The standard deviation of the distribution
返回值
The probability density at x or false for failure.
stats_dens_pmf_binomial
Probability mass function of the binomial distribution
说明
float <span
class="methodname">stats_dens_pmf_binomial ( <span
class="methodparam">float $x , <span
class="methodparam">float $n , <span
class="methodparam">float $pi )
Returns the probability mass at x, where the random variable follows
the binomial distribution of which the number of trials is n and the
success rate is pi.
参数
x
The value at which the probability mass is calculated
n
The number of trials of the distribution
pi
The success rate of the distribution
返回值
The probability mass at x or false for failure.
stats_dens_pmf_hypergeometric
Probability mass function of the hypergeometric distribution
说明
float <span
class="methodname">stats_dens_pmf_hypergeometric ( <span
class="methodparam">float $n1 , <span
class="methodparam">float $n2 , <span
class="methodparam">float $N1 , <span
class="methodparam">float $N2 )
Returns the probability mass at n1, where the random variable follows
the hypergeometric distribution of which the number of failure is n2,
the number of success samples is N1, and the number of failure samples
is N2.
参数
n1
The number of success, at which the probability mass is calculated
n2
The number of failure of the distribution
N1
The number of success samples of the distribution
N2
The number of failure samples of the distribution
返回值
The probability mass at n1 or false for failure.
stats_dens_pmf_negative_binomial
Probability mass function of the negative binomial distribution
说明
float <span
class="methodname">stats_dens_pmf_negative_binomial ( <span
class="methodparam">float $x , <span
class="methodparam">float $n , <span
class="methodparam">float $pi )
Returns the probability mass at x, where the random variable follows
the negative binomial distribution of which the number of the success is
n and the success rate is pi.
参数
x
The value at which the probability mass is calculated
n
The number of the success of the distribution
pi
The success rate of the distribution
返回值
The probability mass at x or false for failure.
stats_dens_pmf_poisson
Probability mass function of the Poisson distribution
说明
float <span
class="methodname">stats_dens_pmf_poisson ( <span
class="methodparam">float $x , <span
class="methodparam">float $lb )
Returns the probability mass at x, where the random variable follows
the Poisson distribution whose parameter is lb.
参数
x
The value at which the probability mass is calculated
lb
The parameter of the Poisson distribution
返回值
The probability mass at x or false for failure.
stats_dens_t
Probability density function of the t-distribution
说明
float <span
class="methodname">stats_dens_t ( <span
class="methodparam">float $x , <span
class="methodparam">float $dfr )
Returns the probability density at x, where the random variable
follows the t-distribution of which the degree of freedom is dfr.
参数
x
The value at which the probability density is calculated
dfr
The degree of freedom of the distribution
返回值
The probability density at x or false for failure.
stats_dens_uniform
Probability density function of the uniform distribution
说明
float <span
class="methodname">stats_dens_uniform ( <span
class="methodparam">float $x , <span
class="methodparam">float $a , <span
class="methodparam">float $b )
Returns the probability density at x, where the random variable
follows the uniform distribution of which the lower bound is a and the
upper bound is b.
参数
x
The value at which the probability density is calculated
a
The lower bound of the distribution
b
The upper bound of the distribution
返回值
The probability density at x or false for failure.
stats_dens_weibull
Probability density function of the Weibull distribution
说明
float <span
class="methodname">stats_dens_weibull ( <span
class="methodparam">float $x , <span
class="methodparam">float $a , <span
class="methodparam">float $b )
Returns the probability density at x, where the random variable
follows the Weibull distribution of which the shape parameter is a and
the scale parameter is b.
参数
x
The value at which the probability density is calculated
a
The shape parameter of the distribution
b
The scale parameter of the distribution
返回值
The probability density at x or false for failure.
stats_harmonic_mean
Returns the harmonic mean of an array of values
说明
number <span
class="methodname">stats_harmonic_mean ( <span
class="methodparam">array $a )
Returns the harmonic mean of the values in a.
参数
a
The input array
返回值
Returns the harmonic mean of the values in a, or false if a is
empty or is not an array.
stats_kurtosis
Computes the kurtosis of the data in the array
说明
float <span
class="methodname">stats_kurtosis ( <span
class="methodparam">array $a )
Returns the kurtosis of the values in a.
参数
a
The input array
返回值
Returns the kurtosis of the values in a, or false if a is
empty or is not an array.
stats_rand_gen_beta
Generates a random deviate from the beta distribution
说明
float <span
class="methodname">stats_rand_gen_beta ( <span
class="methodparam">float $a , <span
class="methodparam">float $b )
Returns a random deviate from the beta distribution with parameters A and B. The density of the beta is x^(a-1) * (1-x)^(b-1) / B(a,b) for 0 \< x \<. Method R. C. H. Cheng.
参数
a
The shape parameter of the beta distribution
b
The shape parameter of the beta distribution
返回值
A random deviate
stats_rand_gen_chisquare
Generates a random deviate from the chi-square distribution
说明
float <span
class="methodname">stats_rand_gen_chisquare ( <span
class="methodparam">float $df )
Returns a random deviate from the chi-square distribution where the
degrees of freedom is df.
参数
df
The degrees of freedom
返回值
A random deviate
stats_rand_gen_exponential
Generates a random deviate from the exponential distribution
说明
float <span
class="methodname">stats_rand_gen_exponential ( <span
class="methodparam">float $av )
Returns a random deviate from the exponential distribution of which the
scale is av.
参数
av
The scale parameter
返回值
A random deviate
stats_rand_gen_f
Generates a random deviate from the F distribution
说明
float <span
class="methodname">stats_rand_gen_f ( <span
class="methodparam">float $dfn ,
float $dfd
)
Generates a random deviate from the F (variance ratio) distribution with "dfn" degrees of freedom in the numerator and "dfd" degrees of freedom in the denominator. Method : directly generates ratio of chisquare variates.
参数
dfn
The degrees of freedom in the numerator
dfd
The degrees of freedom in the denominator
返回值
A random deviate
stats_rand_gen_funiform
Generates uniform float between low (exclusive) and high (exclusive)
说明
float <span
class="methodname">stats_rand_gen_funiform ( <span
class="methodparam">float $low ,
float $high
)
Returns a random deviate from the uniform distribution from low to
high.
参数
low
The lower bound (inclusive)
high
The upper bound (exclusive)
返回值
A random deviate
stats_rand_gen_gamma
Generates a random deviate from the gamma distribution
说明
float <span
class="methodname">stats_rand_gen_gamma ( <span
class="methodparam">float $a , <span
class="methodparam">float $r )
Generates a random deviate from the gamma distribution whose density is (A**R)/Gamma(R) * X**(R-1) * Exp(-A*X).
参数
a
location parameter of Gamma distribution (a > 0).
r
shape parameter of Gamma distribution (r > 0).
返回值
A random deviate
stats_rand_gen_ibinomial_negative
Generates a random deviate from the negative binomial distribution
说明
int <span
class="methodname">stats_rand_gen_ibinomial_negative ( <span
class="methodparam">int $n , <span
class="methodparam">float $p )
Returns a random deviate from a negative binomial distribution where the
number of success is n and the success rate is p.
参数
n
The number of success
p
The success rate
返回值
A random deviate, which is the number of failure.
stats_rand_gen_ibinomial
Generates a random deviate from the binomial distribution
说明
int <span
class="methodname">stats_rand_gen_ibinomial ( <span
class="methodparam">int $n , <span
class="methodparam">float $pp )
Returns a random deviate from the binomial distribution whose number of
trials is n and whose probability of an event in each trial is pp.
参数
n
The number of trials
pp
The probability of an event in each trial
返回值
A random deviate
stats_rand_gen_int
Generates random integer between 1 and 2147483562
说明
int <span class="methodname">stats_rand_gen_int ( <span class="methodparam">void )
Returns a random integer between 1 and 2147483562
返回值
A random integer
stats_rand_gen_ipoisson
Generates a single random deviate from a Poisson distribution
说明
int <span
class="methodname">stats_rand_gen_ipoisson ( <span
class="methodparam">float $mu )
Returns a random deviate from the Poisson distribution with parameter
mu.
参数
mu
The parameter of the Poisson distribution
返回值
A random deviate
stats_rand_gen_iuniform
Generates integer uniformly distributed between LOW (inclusive) and HIGH (inclusive)
说明
int <span
class="methodname">stats_rand_gen_iuniform ( <span
class="methodparam">int $low , <span
class="methodparam">int $high )
Returns a random integer from the discrete uniform distribution between
low (inclusive) and high (inclusive).
参数
low
The lower bound
high
The upper bound
返回值
A random integer
stats_rand_gen_noncentral_chisquare
Generates a random deviate from the non-central chi-square distribution
说明
float <span
class="methodname">stats_rand_gen_noncentral_chisquare (
float $df ,
float
$xnonc )
Returns a random deviate from the non-central chi-square distribution
with degrees of freedom, df, and non-centrality parameter, xnonc.
参数
df
The degrees of freedom
xnonc
The non-centrality parameter
返回值
A random deviate
stats_rand_gen_noncentral_f
Generates a random deviate from the noncentral F distribution
说明
float <span
class="methodname">stats_rand_gen_noncentral_f ( <span
class="methodparam">float $dfn ,
float $dfd
, float
$xnonc )
Returns a random deviate from the non-central F distribution where the
degrees of freedoms are dfn (numerator) and dfd (denominator), and
the non-centrality parameter is xnonc.
参数
dfn
The degrees of freedom of the numerator
dfd
The degrees of freedom of the denominator
xnonc
The non-centrality parameter
返回值
A random deviate
stats_rand_gen_noncentral_t
Generates a single random deviate from a non-central t-distribution
说明
float <span
class="methodname">stats_rand_gen_noncentral_t ( <span
class="methodparam">float $df , <span
class="methodparam">float $xnonc )
Returns a random deviate from the non-central t-distribution with the
degrees of freedom, df, and the non-centrality parameter, xnonc.
参数
df
The degrees of freedom
xnonc
The non-centrality parameter
返回值
A random deviate
stats_rand_gen_normal
Generates a single random deviate from a normal distribution
说明
float <span
class="methodname">stats_rand_gen_normal ( <span
class="methodparam">float $av , <span
class="methodparam">float $sd )
Returns a random deviate from the normal distribution with mean, av,
and standard deviation, sd.
参数
av
The mean of the normal distribution
sd
The standard deviation of the normal distribution
返回值
A random deviate
stats_rand_gen_t
Generates a single random deviate from a t-distribution
说明
float <span
class="methodname">stats_rand_gen_t ( <span
class="methodparam">float $df )
Returns a random deviate from the t-distribution with the degrees of
freedom, df.
参数
df
The degrees of freedom
返回值
A random deviate
stats_rand_get_seeds
Get the seed values of the random number generator
说明
array <span class="methodname">stats_rand_get_seeds ( <span class="methodparam">void )
Returns the current seed values of the random number generator
返回值
Returns an array of two integers.
stats_rand_phrase_to_seeds
Generate two seeds for the RGN random number generator
说明
array <span
class="methodname">stats_rand_phrase_to_seeds ( <span
class="methodparam">string $phrase )
Generate two seeds for the random number generator from a phrase.
参数
phrase
The input phrase
返回值
Returns an array of two integers.
stats_rand_ranf
Generates a random floating point number between 0 and 1
说明
float <span class="methodname">stats_rand_ranf ( <span class="methodparam">void )
Returns a random floating point number from a uniform distribution between 0 (exclusive) and 1 (exclusive).
返回值
A random floating point number
stats_rand_setall
Set seed values to the random generator
说明
void <span
class="methodname">stats_rand_setall ( <span
class="methodparam">int $iseed1 ,
int $iseed2
)
Set iseed1 and iseed2 as seed values to the random generator used in
statistic functions.
参数
iseed1
The value which is used as the random seed
iseed2
The value which is used as the random seed
返回值
No values are returned.
stats_skew
Computes the skewness of the data in the array
说明
float <span
class="methodname">stats_skew ( <span
class="type">array $a )
Returns the skewness of the values in a.
参数
a
The input array
返回值
Returns the skewness of the values in a, or false if a is
empty or is not an array.
stats_standard_deviation
Returns the standard deviation
说明
float <span
class="methodname">stats_standard_deviation ( <span
class="methodparam">array $a [,
bool $sample<span
class="initializer"> = false ] )
Returns the standard deviation of the values in a.
参数
a
The array of data to find the standard deviation for. Note that all
values of the array will be cast to float.
sample
Indicates if a represents a sample of the population; defaults to
false.
返回值
Returns the standard deviation on success; false on failure.
错误／异常
Raises an E_WARNING when there are fewer than 2 values in a.
stats_stat_binomial_coef
Returns a binomial coefficient
说明
float <span
class="methodname">stats_stat_binomial_coef ( <span
class="methodparam">int $x , <span
class="methodparam">int $n )
Returns the binomial coefficient of n choose x.
参数
x
The number of chooses from the set
n
The number of elements in the set
返回值
Returns the binomial coefficient
stats_stat_correlation
Returns the Pearson correlation coefficient of two data sets
说明
float <span
class="methodname">stats_stat_correlation ( <span
class="methodparam">array $arr1 ,
array $arr2
)
Returns the Pearson correlation coefficient between arr1 and arr2.
参数
arr1
The first array
arr2
The second array
返回值
Returns the Pearson correlation coefficient between arr1 and arr2,
or false on failure.
stats_stat_factorial
Returns the factorial of an integer
说明
float <span
class="methodname">stats_stat_factorial ( <span
class="methodparam">int $n )
Returns the factorial of an integer, n.
参数
n
An integer
返回值
The factorial of n.
stats_stat_independent_t
Returns the t-value from the independent two-sample t-test
说明
float <span
class="methodname">stats_stat_independent_t ( <span
class="methodparam">array $arr1 ,
array $arr2
)
Returns the t-value of the independent two-sample t-test between arr1
and arr2.
Warning
本函数还未编写文档，仅有参数列表。
参数
arr1
The first set of values
arr2
The second set of values
返回值
Returns the t-value, or false if failure.
stats_stat_innerproduct
Returns the inner product of two vectors
说明
float <span
class="methodname">stats_stat_innerproduct ( <span
class="methodparam">array $arr1 ,
array $arr2
)
Returns the inner product of arr1 and arr2.
参数
arr1
The first array
arr2
The second array
返回值
Returns the inner product of arr1 and arr2, or false on
failure.
stats_stat_paired_t
Returns the t-value of the dependent t-test for paired samples
说明
float <span
class="methodname">stats_stat_paired_t ( <span
class="methodparam">array $arr1 ,
array $arr2
)
Returns the t-value of the dependent t-test for paired samples arr1
and arr2.
参数
arr1
The first samples
arr2
The second samples
返回值
Returns the t-value, or false if failure.
stats_stat_percentile
Returns the percentile value
说明
float <span
class="methodname">stats_stat_percentile ( <span
class="methodparam">array $arr ,
float $perc
)
Returns the perc-th percentile value of the array arr.
参数
arr
The input array
perc
The percentile
返回值
Returns the percentile values of the input array.
stats_stat_powersum
Returns the power sum of a vector
说明
float <span
class="methodname">stats_stat_powersum ( <span
class="methodparam">array $arr ,
float
$power )
Returns the sum of the power-th power of a vector represented as an
array arr.
参数
arr
The input array
power
The power
返回值
Returns the power sum of the input array.
stats_variance
Returns the variance
说明
float <span
class="methodname">stats_variance ( <span
class="methodparam">array $a [,
bool $sample<span
class="initializer"> = false ] )
Returns the variance of the values in a.
参数
a
The array of data to find the standard deviation for. Note that all
values of the array will be cast to float.
sample
Indicates if a represents a sample of the population; defaults to
false.
返回值
Returns the variance on success; false on failure.
目录
- stats_absolute_deviation — Returns the absolute deviation of an array of values
- stats_cdf_beta — Calculates any one parameter of the beta distribution given values for the others
- stats_cdf_binomial — Calculates any one parameter of the binomial distribution given values for the others
- stats_cdf_cauchy — Calculates any one parameter of the Cauchy distribution given values for the others
- stats_cdf_chisquare — Calculates any one parameter of the chi-square distribution given values for the others
- stats_cdf_exponential — Calculates any one parameter of the exponential distribution given values for the others
- stats_cdf_f — Calculates any one parameter of the F distribution given values for the others
- stats_cdf_gamma — Calculates any one parameter of the gamma distribution given values for the others
- stats_cdf_laplace — Calculates any one parameter of the Laplace distribution given values for the others
- stats_cdf_logistic — Calculates any one parameter of the logistic distribution given values for the others
- stats_cdf_negative_binomial — Calculates any one parameter of the negative binomial distribution given values for the others
- stats_cdf_noncentral_chisquare — Calculates any one parameter of the non-central chi-square distribution given values for the others
- stats_cdf_noncentral_f — Calculates any one parameter of the non-central F distribution given values for the others
- stats_cdf_noncentral_t — Calculates any one parameter of the non-central t-distribution give values for the others
- stats_cdf_normal — Calculates any one parameter of the normal distribution given values for the others
- stats_cdf_poisson — Calculates any one parameter of the Poisson distribution given values for the others
- stats_cdf_t — Calculates any one parameter of the t-distribution given values for the others
- stats_cdf_uniform — Calculates any one parameter of the uniform distribution given values for the others
- stats_cdf_weibull — Calculates any one parameter of the Weibull distribution given values for the others
- stats_covariance — Computes the covariance of two data sets
- stats_dens_beta — Probability density function of the beta distribution
- stats_dens_cauchy — Probability density function of the Cauchy distribution
- stats_dens_chisquare — Probability density function of the chi-square distribution
- stats_dens_exponential — Probability density function of the exponential distribution
- stats_dens_f — Probability density function of the F distribution
- stats_dens_gamma — Probability density function of the gamma distribution
- stats_dens_laplace — Probability density function of the Laplace distribution
- stats_dens_logistic — Probability density function of the logistic distribution
- stats_dens_normal — Probability density function of the normal distribution
- stats_dens_pmf_binomial — Probability mass function of the binomial distribution
- stats_dens_pmf_hypergeometric — Probability mass function of the hypergeometric distribution
- stats_dens_pmf_negative_binomial — Probability mass function of the negative binomial distribution
- stats_dens_pmf_poisson — Probability mass function of the Poisson distribution
- stats_dens_t — Probability density function of the t-distribution
- stats_dens_uniform — Probability density function of the uniform distribution
- stats_dens_weibull — Probability density function of the Weibull distribution
- stats_harmonic_mean — Returns the harmonic mean of an array of values
- stats_kurtosis — Computes the kurtosis of the data in the array
- stats_rand_gen_beta — Generates a random deviate from the beta distribution
- stats_rand_gen_chisquare — Generates a random deviate from the chi-square distribution
- stats_rand_gen_exponential — Generates a random deviate from the exponential distribution
- stats_rand_gen_f — Generates a random deviate from the F distribution
- stats_rand_gen_funiform — Generates uniform float between low (exclusive) and high (exclusive)
- stats_rand_gen_gamma — Generates a random deviate from the gamma distribution
- stats_rand_gen_ibinomial_negative — Generates a random deviate from the negative binomial distribution
- stats_rand_gen_ibinomial — Generates a random deviate from the binomial distribution
- stats_rand_gen_int — Generates random integer between 1 and 2147483562
- stats_rand_gen_ipoisson — Generates a single random deviate from a Poisson distribution
- stats_rand_gen_iuniform — Generates integer uniformly distributed between LOW (inclusive) and HIGH (inclusive)
- stats_rand_gen_noncentral_chisquare — Generates a random deviate from the non-central chi-square distribution
- stats_rand_gen_noncentral_f — Generates a random deviate from the noncentral F distribution
- stats_rand_gen_noncentral_t — Generates a single random deviate from a non-central t-distribution
- stats_rand_gen_normal — Generates a single random deviate from a normal distribution
- stats_rand_gen_t — Generates a single random deviate from a t-distribution
- stats_rand_get_seeds — Get the seed values of the random number generator
- stats_rand_phrase_to_seeds — Generate two seeds for the RGN random number generator
- stats_rand_ranf — Generates a random floating point number between 0 and 1
- stats_rand_setall — Set seed values to the random generator
- stats_skew — Computes the skewness of the data in the array
- stats_standard_deviation — Returns the standard deviation
- stats_stat_binomial_coef — Returns a binomial coefficient
- stats_stat_correlation — Returns the Pearson correlation coefficient of two data sets
- stats_stat_factorial — Returns the factorial of an integer
- stats_stat_independent_t — Returns the t-value from the independent two-sample t-test
- stats_stat_innerproduct — Returns the inner product of two vectors
- stats_stat_paired_t — Returns the t-value of the dependent t-test for paired samples
- stats_stat_percentile — Returns the percentile value
- stats_stat_powersum — Returns the power sum of a vector
- stats_variance — Returns the variance