Reliability for Beta Models
Data(s) |
25/11/2009
25/11/2009
2002
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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 |
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 |