PHP | stats_cdf_beta() Function

PHP stats_cdf_beta() Function


Hello folks! welcome back to a new edition of our tutorial on PHP. In this tutorial guide, we are going to be studying about the PHP stats_cdf_beta() Function.

The built-in PHP stats_cdf_beta() function calculates any one parameter of the beta distribution given values for the others.

Syntax

Following below is the syntax to use this function -

float stats_cdf_beta( float $par1, float $par2, float $par3, int $which)


Parameter Details

Sr.NoParameterDescription
1

par1

The first parameter

2

par2

The second parameter

3

par3

The third parameter

4

which

The flag to determine what to be calculated


Return Value

This PHP function returns the cumulative distribution function, its inverse, or one of its parameters, of the beta distribution. The kind of return values and parameters (par1, par2, and par3) are determined by which.

The following table list the return value and parameters by which.

  • CDF denotes cumulative distribution function.
  • x denotes the value of the random variable.
  • alpha and beta denotes shape parameters of the beta distribution.

whichReturn valuepar1par2par3
1CDFxalphabeta
2xCDFalphabeta
3alphaxCDFbeta
4betaxCDFalpha

Dependencies

This built-in function was first introduced in statistics extension (PHP version 4.0.0 and PEAR v1.4.0). In this tutorial guide, we used the latest release of stats-2.0.3 (PHP v7.0.0 or newer and PEAR version 1.4.0 or newer).

Example1

In the following example below, when which = 1, calculate P from (X, A, B).

  • P is the integral from 0 to X of the chi-square distribution. Input range: [0, 1].
  • X is the upper limit of integration of beta density. Input range: [0, 1].
  • A is the first parameter of the beta density. Input range: (0, +infinity).
  • B is the second parameter of the beta density. Input range: (0, +infinity).

<?php
   // which = 1 : calculate P from (X, A, B)
   var_dump(round(stats_cdf_beta(0.5, 2, 4, 1), 6));
?>

Output

When the above code is executed, it will produce the following result -

float(0.8125)

Example2

In the following example below, when which = 2, calculate X from (P, A, B).

  • P is the integral from 0 to X of the chi-square distribution. Input range: [0, 1].
  • X is the upper limit of integration of beta density. Input range: [0, 1].
  • A is the first parameter of the beta density. Input range: (0, +infinity).
  • B is the second parameter of the beta density. Input range: (0, +infinity).

<?php
   // which = 2 : calculate X from (P, A, B)
   var_dump(round(stats_cdf_beta(0.8125, 2, 4, 2), 6));
?>

Output

When the above code is executed, it will produce the following result -

float(0.5)

Example3

In the following example below, when which = 3, calculate A from (P, X, B).

  • P is the integral from 0 to X of the chi-square distribution. Input range: [0, 1].
  • X is the upper limit of integration of beta density. Input range: [0, 1].
  • A is the first parameter of the beta density. Input range: (0, +infinity).
  • B is the second parameter of the beta density. Input range: (0, +infinity).

<?php
   // which = 3 : calculate A from (P, X, B)
   var_dump(round(stats_cdf_beta(0.8125, 0.5, 4, 3), 6));
?>

Output

When the above code is executed, it will produce the following result -

float(2)

Example4

In the following example below, when which = 4, calculate B from (P, X, A).

  • P is the integral from 0 to X of the chi-square distribution. Input range: [0, 1].
  • X is the upper limit of integration of beta density. Input range: [0, 1].
  • A is the first parameter of the beta density. Input range: (0, +infinity).
  • B is the second parameter of the beta density. Input range: (0, +infinity).

<?php
   // which = 4 : calculate B from (P, X, A)
   var_dump(round(stats_cdf_beta(0.8125, 0.5, 2, 4), 6));
?>

Output

When the above code is executed, it will produce the following result -

float(4)

Example5

Following is an error case. In the following example below which<1, warning message is displayed in logs.

<?php
   var_dump(stats_cdf_beta(0.5, 2, 4, 0));     // which < 1
?>

Output

The above code will produce the following result and a warning in logs PHP Warning: stats_cdf_beta(): Fourth parameter should be in the 1..4 range.

bool(false)

Example6

Following is an error case. In the following example below which>4, warning message is displayed in logs.

<?php
   var_dump(stats_cdf_beta(0.5, 2, 4, 5));     // which > 4
?>

Output

The above code will produce the following result and a warning in logs PHP Warning: stats_cdf_beta(): Fourth parameter should be in the 1..4 range.

bool(false)


Alright guys! This is where we are going to be rounding up for this tutorial post. In our next tutorial, we are going to be discussing about the stats_cdf_binomial() Function in PHP.

Feel free to ask your questions where necessary and we will attend to them as soon as possible. If this tutorial was helpful to you, you can use the share button to share this tutorial.

Follow us on our various social media platforms to stay updated with our latest tutorials. You can also subscribe to our newsletter in order to get our tutorials delivered directly to your emails.

Thanks for reading and bye for now.