beta distribution

(redirected from Beta-distribution)

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.
References in periodicals archive ?
"A Generalization of the Beta-distribution." The Annals of Mathematical Statistics 30 (1959): 509-20.
Applied to the bivariate beta-distribution Algorithm ALC2D is, due to the density which is more expensive to evaluate, about 40% slower than for the normal distribution; for the other tested distributions the execution times lie in between.
(For the bivariate beta-distribution an auxiliary domain is not necessary.) Of course the acceptance probability [P.sub.N] of our algorithm is a random variable.
Applications of Generalized Beta-distribution in Quality Control Models // Electronics and Electrical Engineering.--Kaunas: Technologija.--2007.
It is shown also how the physics-of-failure-based BAZ model can be sandwiched between two statistical models, when there is a need to diagnose a presumably faulty device (Bayes theorem can be used to do that), assess its RUL (using BAZ model) and update the product's reliability (this can be done using beta-distribution).
Table 2 displays the model with the beta-distribution computation of the fractile from the cost-overrun percentage and CDF fractile inputs.