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GAMMA.INV

Definition

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.

Sample Usage

Syntax

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.

Remarks

  • 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.

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


 

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


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



A
B
1
Description
Data
2
Probability associated with the gamma distribution
0.068094
3
Alpha parameter to the distribution
9
4
Beta parameter to the distribution
2
5
6
7
GAMMA.INV(A2,A3,A4)
10.00001119

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