Journal Published Online: 11 December 2017
Volume 46, Issue 2

A New Application of Beta Gompertz Distribution in Reliability

CODEN: JTEVAB

Abstract

In this paper, we considered the problem of the estimation R = P(Y < X) that was defined as a life of a component, and which has strength X and is subjected to stress Y. We derive R = P(Y < X) when X and Y are independent beta Gompertz random variables. The reliability is estimated using two estimation methods, they were the maximum likelihood and Bayes estimator. A simulation study was used to compare the two different estimators. Real data was used as a practical application of the proposed procedure.

Author Information

Hassan, M. KH.
Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Cairo, Egypt Dept. of Mathematics, College of Science, Univ. of Dammam, Saudi Arabia
Pages: 9
Price: $25.00
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Details
Stock #: JTE20160440
ISSN: 0090-3973
DOI: 10.1520/JTE20160440