PHP | stats_cdf_exponential() Function

PHP stats_cdf_exponential() 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_exponential() Function.

The PHP stats_cdf_exponential() function is used to calculate any one parameter of the exponential distribution given values for the others.

Syntax

Following below is the syntax to use this function -

float stats_cdf_exponential ( float $par1, float $par2, int $which )


Parameter Details

Sr.NoParameterDescription
1

par1

The first parameter

2

par2

The second parameter

3

which

The flag to determine what to be calculated


Return Value

This built-in PHP function returns the CDF, its inverse, or one of its parameters, of the exponential distribution. The kind of return value and parameters (par1 and par2) 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.
  • lambda denotes the rate parameter of the exponential distribution.

whichReturn valuepar1par2
1CDFxlambda
2xCDFlambda
3lambdaxCDF

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, SCALE).

  • P is the probability of an event (0<p<1).
  • X is the random variable.
  • SCALE is the scale parameter.

<?php
   // which = 1 : calculate P from (X, SCALE)
   var_dump(round(stats_cdf_exponential(1, 2, 1), 6));
?>

Output

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

float(0.393469)

Example2

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

  • P is the probability of an event (0<p<1).
  • X is the random variable.
  • SCALE is the scale parameter.

<?php
   // which = 2 : calculate X from (P, SCALE)
   var_dump(round(stats_cdf_exponential(0.39346934, 2, 2), 6));
?>

Output

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

float(1)

Example3

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

  • P is the probability of an event (0<p<1).
  • X is the random variable.
  • SCALE is the scale parameter.

<?php
   // which = 3 : calculate SCALE from (P, X)
   var_dump(round(stats_cdf_exponential(0.39346934, 1, 3), 6));
?>

Output

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

float(2)

Example4

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

<?php
var_dump(stats_cdf_exponential(1, 2, 0)); // which < 1
?>

Output

The above code will produce the following result and a warning in logs PHP Warning: stats_cdf_exponential(): Third parameter ought to be in the 1..3 range.

bool(false)

Example5

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

<?php
var_dump(stats_cdf_exponential(4, 3, 4));   // which > 3
?>

Output

The above code will produce the following result and a warning in logs PHP Warning: stats_cdf_exponential(): Third parameter ought to be in the 1..3 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 PHP stats_cdf_f() Function.

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