beta distribution


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beta distribution

[′bād·ə dis·trə′byü·shən]
(statistics)
The probability distribution of a random variable with density function ƒ(x) = [x α-1(1-x)β-1]/ B (α,β), where B represents the beta function, α and β are positive real numbers, and 0<x<1. Also known as Pearson Type I distribution.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Their topics include dilations and free spectrahedral inclusions, the optimality condition a = P in terms of beta functions, reformulation of the optimization problem, bounds on the median and the equipoint of the beta distribution, and dilations and inclusions of balls.
In this case, given that the relative air humidity is a random variable with values given in the open interval (0, 1), we could assume a beta distribution to analyze the data.
5.1.7] that this minimax estimator is indeed a Bayes estimator with respect to a continuous distribution supported in [0,1], namely the Beta distribution
It is expected that there will be many applications of the new extension of the classical beta function, e.g., new extension of the beta distribution, new extensions of Gauss hypergeometric functions and confluent hypergeometric function, generating relations, and extension of Riemann-Liouville derivatives.
and a physician's true performance is assumed to come from a beta distribution:
In the second step, LRT comparison was made with a null model M7, assuming a beta distribution B (p, q) for x w (in the interval 0 < [omega] < 1, where 0 indicated complete constraint and 1 was the expectation under no selection pressure), and another M8 model using an additional class of sites with w estimated was included.
Assuming the beta distribution characterized the distribution of pain responses, beta regression models, an extension of generalized linear models, were estimated associating pain with demographic and exposure variables.