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PHP - Stats Dens Betas() Function



Definition and Usage

The stats_dens_beta() function is probability density function of the beta distribution.

Syntax

float stats_dens_beta( float $x, float $a, float $b )

Parameters

Sr.No Parameter Description
1

x

The value at which the probability density is calculated

2

a

The shape parameter of the distribution

3

b

The shape parameter of the distribution

Return Values

The stats_dens_beta() function can return the probability density at x, where the random variable can follow the beta distribution of which shape parameters are a and b, or false for failure.

Dependencies

This function was first introduced in statistics extension (PHP 4.0.0 and PEAR 1.4.0). We have used latest release of stats-2.0.3 (PHP 7.0.0 or newer and PEAR 1.4.0 or newer) for this tutorial.

Example

In the following example, we compute probability density for each x.

<?php
   // check for each x
   foreach (range(0.1, 0.9, 0.2) as $x) {
      var_dump(round(stats_dens_beta($x, 2, 3), 6));
      echo "<br>";
   }
?>

Output

This will produce following result −

  float(0.972)
  float(1.764)
  float(1.5)
  float(0.756)
  float(0.108)

Example

In the following example, we compute probability density for each a.

<?php
   // check for each a
   foreach (range(0.5, 3, 0.5) as $a) {
      var_dump(round(stats_dens_beta(0.4, $a, 3), 6));echo "<br>";
   }
?>

Output

This will produce following result −

float(0.533634)
float(1.08)
float(1.494176)
float(1.728)
float(1.793011)
float(1.728)

Example

In the following example, we compute probability density for each b.

<?php
   // check for each b
   foreach (range(0.5, 3, 0.5) as $b) {
      var_dump(round(stats_dens_beta(0.4, 2, $b), 6));echo "<br>";
   }
?>

Output

This will produce following result −

float(0.387298)
float(0.8)
float(1.161895)
float(1.44)
float(1.626653)
float(1.728)
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