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Discrete Uniform Distribution

(probability dist for equations)

 

Usage:

DiscUniformDist (k, a, b)

Definition:

1 / (b - a + 1)

Required:

b ⋝ a     k, a, b are integers

Support:

akb

Moments:

μ = (a + b) / 2

σ^2 = (b-a) (b–a+2) / 12

γ1 = 0

β2 = (3/5) [3 – 4 / [(b-a) (b–a+2)]]

This distribution represents the situation where k has an equal probability of taking on any of the integer values from a to b inclusive (where a and b are integers).  If k were continuous, then it would be a continuous uniform distribution.

   

 

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