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beta distribution

   Also found in: Wikipedia 0.01 sec.
beta distribution [′bād·ə dis·trə′byü·shən]
(statistics)
The probability distribution of a random variable with density function ƒ(x) = [xα-1(1-x)β-1]/B(α,β), whereBrepresents the beta function, α and β are positive real numbers, and 0<x<1. Also known as Pearson Type I distribution.


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The usual 2-parameter choice for modelling the statistics of a naturally bounded variable is the beta distribution or density; we find that appropriate for both [[PHI].
However, a maximum-likelihood model based on the beta distribution (not reported here) indicates a unimodal right-skew distribution.
[alpha]], [alpha] [member of] (0, 1) has the beta distribution with parameters 1 - [alpha] and [alpha], i.
 
 
 
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