Gamma Distribution

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. It has a scale parameter θ and a shape parameter k. If k is an integer then the distribution represents the sum of k exponentially distributed random variables, each of which has mean θ.
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The Gamma distribution (the term first used by Weatherburn, 1946) is defined as:
f(x) = (x/b)c-1 * e(-x/b) * [1/b (c)]
0 x, b > 0, c > 0
where
(gamma) is the Gamma function
b is the scale parameter
a is the so-called shape parameter
e is the base of the natural logarithm, sometimes called Euler's e (2.71...)
Gamma Distribution (animation) 
The animation above shows the gamma distribution as the shape parameter changes from 1 to 6.

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