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Statistical function
GAMMA.DIST
Returns the gamma distribution.
Rarely usedDifficulty 1550 · AdvancedUsage rank #444 of 520
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.
Related
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