September 2012
Intermediate to advanced
486 pages
10h 41m
English
Content preview from Bayesian Statistics: An Introduction, 4th Edition
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A.10 Beta distribution
X has a beta distribution with parameters α and β, denoted
if it has density
where the beta function 
is defined by
The mean and variance are
The mode is
and the approximate relationship between mean, mode and median can be used to find an approximate median.
The distribution function of any variable with a beta distribution is easily found in terms of the incomplete beta function
Extensive tables can be found in Pearson (1968) or in Pearson and Hartley (1966, Table 17).