Table of Contents
Journal of Quality and Reliability Engineering
Volume 2013, Article ID 190437, 13 pages
http://dx.doi.org/10.1155/2013/190437
Research Article

On the Mean Residual Life Function and Stress and Strength Analysis under Different Loss Function for Lindley Distribution

Department of Decision Sciences, Bocconi University, via Roenthen 1, 20136 Milan, Italy

Received 4 November 2012; Accepted 4 February 2013

Academic Editor: Shey-Huei Sheu

Copyright © 2013 Sajid Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Purpose. Mathematical properties of Lindley distribution are derived under different loss functions. These properties include mean residual life function, Lorenz curve, stress and strength characteristic, and their respective posterior risk via simulation scheme. Methodology. Bayesian approach is used for the reliability characteristics. Results are compared on the basis of posterior risk. Findings. Using prior information on the parameter of Lindley distribution, Bayes estimates for reliability characteristics are compared under different loss functions. Practical Implications. Since Lindley distribution is a mixture of gamma and exponential distribution, so Bayesian estimation of reliability characteristics will have a great implication in reliability theory. Originality. A real life application to waiting time data at the bank is also described for the developed procedures. This study is useful for researcher and practitioner in reliability theory.