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Statistical function

GAMMA.DIST

Returns the gamma distribution.

Rarely usedDifficulty 1550 · AdvancedUsage rank #444 of 520
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When to use it

The gamma distribution: waiting time for alpha events in a Poisson process with scale beta. It generalizes the exponential and models skewed positive quantities like claim sizes and rainfall.

The shape of it

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

Worked examples

  • Exponential case

    =GAMMA.DIST(2,1,1,TRUE) 0.864664717

    Alpha 1 is the exponential distribution.

  • Two events

    =GAMMA.DIST(2,2,1,TRUE) 0.59399415

    Probability that two events with mean gap 1 happen within time 2.

  • Density

    =GAMMA.DIST(2,2,1,FALSE) 0.270670566

    The density at 2.

Worth knowing

  • Mean is alpha × beta, variance alpha × beta².
  • Beta is a scale; some texts use rate 1/beta instead.
  • GAMMA.INV gives percentiles.

Where it goes wrong

  • #NUM! for negative x or non-positive parameters.
  • Confusing scale and rate gives results off by beta².

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