Reliability for Beta Models


Autoria(s): Nadarajah, Saralees
Data(s)

25/11/2009

25/11/2009

2002

Resumo

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1 ) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1 ) has been worked out for the majority of the well-known distributions including Normal, uniform, exponential, gamma, weibull and pareto. However, there are still many other distributions for which the form of R is not known. We have identified at least some 30 distributions with no known form for R. In this paper we consider some of these distributions and derive the corresponding forms for the reliability R. The calculations involve the use of various special functions.

Identificador

Serdica Mathematical Journal, Vol. 28, No 3, (2002), 267p-282p

1310-6600

http://hdl.handle.net/10525/504

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Beta Distributions #Hypergeometric Functions #Incomplete Beta Function #Reliability
Tipo

Article