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GAMMA.INV function: Description, Usage, Syntax, Examples and Explanation

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What is GAMMA.INV function in Excel?

GAMMA.INV function is one of Statistical functions in Microsoft Excel that returns the inverse of the gamma cumulative distribution. If p = GAMMA.DIST(x,…), then GAMMA.INV(p,…) = x. You can use this function to study a variable whose distribution may be skewed.

Syntax of GAMMA.INV function

GAMMA.INV(probability,alpha,beta)

The GAMMA.INV function syntax has the following arguments:

  • Probability     Required. The probability associated with the gamma distribution.
  • Alpha     Required. A parameter to the distribution.
  • Beta     Required. A parameter to the distribution. If beta = 1, GAMMA.INV returns the standard gamma distribution.

GAMMA.INV formula explanation

  • If any argument is text, GAMMA.INV returns the #VALUE! error value.
  • If probability < 0 or probability > 1, GAMMA.INV returns the #NUM! error value.
  • If alpha ≤ 0 or if beta ≤ 0, GAMMA.INV returns the #NUM! error value.

Given a value for probability, GAMMA.INV seeks that value x such that GAMMA.DIST(x, alpha, beta, TRUE) = probability. Thus, precision of GAMMA.INV depends on precision of GAMMA.DIST. GAMMA.INV uses an iterative search technique. If the search has not converged after 64 iterations, the function returns the #N/A error value.

Example of GAMMA.INV function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Data Description
0.068094 Probability associated with the gamma distribution
9 Alpha parameter to the distribution
2 Beta parameter to the distribution
Formula Description Result
=GAMMA.INV(A2,A3,A4) Inverse of the gamma cumulative distribution for the probability, alpha, and beta arguments in A2, A3, and A4. 10.0000112

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