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BUILT-IN MATHEMATICA SYMBOL
NoncentralBetaDistribution
NoncentralBetaDistribution[
, 
, 
]
represents a noncentral beta distribution with shape parameters , and noncentrality parameter .
Details
- The probability density for value
in a noncentral beta distribution is proportional to ![x^(alpha-1)(1-x)^(beta-1) TemplateBox[{{alpha, +, beta}, alpha, {{(, {x, , delta}, )}, /, 2}}, Hypergeometric1F1]](Files/NoncentralBetaDistribution.en/2.png "x^(alpha-1)(1-x)^(beta-1) TemplateBox[{{alpha, +, beta}, alpha, {{(, {x, , delta}, )}, /, 2}}, Hypergeometric1F1]")
for 
, and is zero for 
or 
. - NoncentralBetaDistribution allows , , and to be any positive real numbers.
- NoncentralBetaDistribution can be used with such functions as Mean, CDF, and RandomVariate.
New in 8
