Skip to main content

GAMMA.DIST

Definition

Returns the gamma distribution. You can use this function to study variables that may have a skewed distribution. The gamma distribution is commonly used in queuing analysis.

Sample Usage

Syntax

GAMMA.DIST(x,alpha,beta,cumulative)

The GAMMA.DIST function syntax has the following arguments:

  • X     Required. The value at which you want to evaluate the distribution.

  • Alpha     Required. A parameter to the distribution.

  • Beta     Required. A parameter to the distribution. If beta = 1, GAMMA.DIST returns the standard gamma distribution.

  • Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, GAMMA.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Remarks

  • If x, alpha, or beta is nonnumeric, GAMMA.DIST returns the #VALUE! error value.

  • If x < 0, GAMMA.DIST returns the #NUM! error value.

  • If alpha ≤ 0 or if beta ≤ 0, GAMMA.DIST returns the #NUM! error value.

  • The equation for the gamma probability density function is:

    Equation

    The standard gamma probability density function is:

    Equation

  • When alpha = 1, GAMMA.DIST returns the exponential distribution with:

    Equation

  • For a positive integer n, when alpha = n/2, beta = 2, and cumulative = TRUE, GAMMA.DIST returns (1 - CHISQ.DIST.RT(x)) with n degrees of freedom.

  • When alpha is a positive integer, GAMMA.DIST is also known as the Erlang distribution.

In order to use the GAMMA.DIST formula, start with your edited Excellentable:


  


Then type in the GAMMA.DIST formula in the area you would like to display the outcome:


By adding the values you would like to calculate the GAMMA.DIST formula for, Excellentable will generate the outcome:



A
B
1
Description
Data
2
Value at which you want to evaluate the distribution
10.00001131
3
Alpha parameter to the distribution
9
4
Beta parameter to the distribution
2
5
6
GAMMA.DIST(A2,A3,A,FALSE)
0.03263913
7
GAMMA.DIST(A2,A3,A4,TRUE)
0.068094004

JavaScript errors detected

Please note, these errors can depend on your browser setup.

If this problem persists, please contact our support.