On the Mean Residual Life Function and Stress and Strength Analysis under Different Loss Function for Lindley Distribution. (5th June 2013)

• Record Type: Journal Article
• Authors: Ali, Sajid
• Other Names: Sheu Shey-Huei Academic Editor.
• Is Part Of: Journal of quality and reliability engineering. Volume 2013(2013)
• Publication Date: 2013-06-05
• Subjects: Reliability (Engineering) -- Periodicals; Engineering -- Quality control -- Periodicals; Failure analysis (Engineering) -- Periodicals; Engineering -- Quality control; Failure analysis (Engineering); Reliability (Engineering); Electronic journals; Periodicals; 620.0045
• DOI: 10.1155/2013/190437
• Languages: English
• ISSNs: 2314-8055

Abstract

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.