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Statistical - GAMMA.INV Function
Description
The GAMMA.INV function 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
GAMMA.INV (probability,alpha,beta)
Arguments
Argument | Description | Required/ Optional |
---|---|---|
Probability | The probability associated with the gamma distribution. | Required |
Alpha | A parameter to the distribution. | Required |
Beta | Required |
Notes
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.
Applicability
Excel 2010, Excel 2013, Excel 2016