GAMMA.DISTThe GAMMA.DIST function calculates the gamma distribution, a 2-parameter continuous probability distribution.

Sample Usage

GAMMA.DIST(4.79, 1.234, 7, TRUE)

GAMMA.DIST(A1, B1, C1, FALSE)

Syntax

GAMMA.DIST(x, alpha, beta, cumulative)

x – The input to the gamma probability distribution function. The value at which to evaluate the function.

alpha – The shape of gamma distribution.

beta – The scale of the distribution.

cumulative – Logical value that determines the form of the function.

If TRUE: GAMMA.DIST returns the left-tailed cumulative distribution function.

If FALSE: GAMMA.DIST returns the probability density function.

Notes

x, alpha, and beta must be numeric.

alpha and beta must be greater than zero.

If alpha is less than or equal to 1 and cumulative is FALSE, then x must be greater than zero; otherwise, x must be greater than or equal to zero.

GAMMA.DIST is synonymous with GAMMADIST.

The chi-squared distribution is a special case of the gamma distribution. For an integer n > 0, GAMMA.DIST(x, n/2, 2, cumulative) is equivalent to CHISQ.DIST(x, n, cumulative).

See Also

CHISQ.DIST: Calculates the left-tailed chi-squared distribution, often used in hypothesis testing.

GAMMADIST: Calculates the gamma distribution, a two-parameter continuous probability distribution.

Example

Evaluate the probability density function of the gamma distribution at x = 5 with alpha = 3.14 and beta = 2.

A

B

C

D

1

x

alpha

beta

solution

2

5

3.14

2

0.1276550316

4

5

3.14

2

=GAMMA.DIST(5, 3.14, 2, FALSE)

5

5

3.14

2

=GAMMA.DIST(A2, B2, C2, FALSE)