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Excel GAMMA.INV Function

The GAMMA.INV function returns the inverse of the gamma cumulative distribution. The function is frequently used to provide probabilities for values that may have a skewed distribution, such as queuing analysis.

Note: The GAMMA.INV function was introduced in Excel 2010. So, it is not available in earlier versions of Excel. For users of earlier Excel versions, please use the GAMMAINV function.

gammainv function 1


Syntax

=GAMMA.INV(probability, alpha, beta)


Arguments

  • probability (required): The probability for which to evaluate the inverse gamma cumulative distribution. Note: probability must satisfy the equation: 0 ≤ probability < 1.
  • alpha (required): A parameter of the distribution. Note: alpha must be positive.
  • beta (required): A parameter of the distribution. If beta = 1, then the standard gamma distribution is calculated. Note: beta must be positive.

Return Value

The GAMMA.INV function returns a numeric value.


Function Notes

  • GAMMA.INV returns the #NUM! error if any of the below conditions is met:
    • probability < 0 or probability ≥ 1;
    • alpha ≤ 0;
    • beta ≤ 0.
  • GAMMA.INV returns the #VALUE! error if probability, alpha, or beta is not a numeric value.

Example

To calculate the value of the inverse gamma cumulative distribution for the given probability, alpha and beta values, please copy or enter the formula below in the result cell and then press Enter to get the result.

=GAMMA.INV(B6,B9,B12)

gamma function 2

Also, you can type the actual probability, alpha and beta values in the formula as shown below.

=GAMMA.INV(4,2,1.5)


GAMMA.INV Vs. GAMMA.DIST

The Excel GAMMA.INV function is the inverse of the GAMMA.DIST function (when used to calculate the cumulative distribution function, i.e., the cumulative argument is set to TURE). For a supplied value for probability, GAMMA.INV(probability, alpha, beta) returns the value of x such that probability = GAMMA.DIST(x, alpha, beta, TRUE).


Related functions

Excel GAMMAINV Function

The GAMMAINV function returns the inverse of the gamma cumulative distribution. The function is frequently used to provide probabilities for values that may have a skewed distribution, such as queuing analysis.

Excel GAMMA Function

The GAMMA function returns the value of the gamma function for a specified number.

Excel GAMMADIST Function

The GAMMADIST function returns the gamma distribution. The function is frequently used to provide probabilities for values that may have a skewed distribution, such as queuing analysis.


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