WorksheetFunction.GammaDist method (Excel)

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

Important

This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. This function is still available for compatibility with earlier versions of Excel. However, if backward compatibility is not required, you should consider using the new functions from now on, because they more accurately describe their functionality.

For more information about the new function, see the Gamma_Dist method.

Syntax

expression.GammaDist (Arg1, Arg2, Arg3, Arg4)

expression A variable that represents a WorksheetFunction object.

Parameters

Name Required/Optional Data type Description
Arg1 Required Double X - the value at which you want to evaluate the distribution.
Arg2 Required Double Alpha - a parameter to the distribution.
Arg3 Required Double Beta - a parameter to the distribution. If beta = 1, GammaDist returns the standard gamma distribution.
Arg4 Required Boolean Cumulative - a logical value that determines the form of the function. If cumulative is True, GammaDist returns the cumulative distribution function; if False, it returns the probability density function.

Return value

Double

Remarks

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

If x < 0, GammaDist returns the #NUM! error value.

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

The equation for the gamma probability density function is:

Screenshot of the gamma probability density equation.

The standard gamma probability density function is:

Screenshot of the standard gamma probability density equation.

When alpha = 1, GammaDist returns the exponential distribution with:

Screenshot of the exponential distribution equation

For a positive integer n, when alpha = n/2, beta = 2, and cumulative = True, GammaDist returns (1 - CHIDIST(x)) with n degrees of freedom.

When alpha is a positive integer, GammaDist is also known as the Erlang distribution.

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