GAMMA.DIST

The 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)
true
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