Reliability Analysis for Two Components Connected in Parallel with Lindley Probability Model
Pages 199-202
Ehtesham Hussain and Masood ul Haq
DOI: http://dx.doi.org/10.6000/1929-6029.2015.04.02.5
Published: 21 May 2015

Abstract: Reliability of structures has been discussed by several authors using probability models. Some of the early researches have been discussed by Birnbaum (1956) [1] in which two independent variables X and Y are defined as “Strength” and “Stress” respectively.

This research is an extension of Mann- Whitney paper (1947) [2] on P(Y<X). Beg (1979c, 1980b, 1980c) [3-5] estimated reliability i.e R = P(Y<X), by taking two parameter Pareto and Power function distributions. Gupta and Gupta (1990) [6] have found point estimates of R=P(aX> bY) by Maximum likelihood and MVUE of R. In the present paper we have considered R=P(Y<X) where X and Y independently follow Lindley distribution. The MLE and Moment estimators of the distribution and then that of R have been found. A simulation study has been done to estimate biasedness and Confidence interval of R.

Keywords: Reliability R = P(Y<X), Lindley distribution, Maximum Likelihood Estimator, Moment Estimator.