"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.