Estimation of Reliability in Multi-Component Stress-Strength Model Following Exponentiated Pareto Distribution | ||
| The Egyptian Statistical Journal | ||
| Article 3, Volume 56, Issue 2, December 2012, Pages 82-95 PDF (9.13 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2012.314338 | ||
| Authors | ||
| Amal S.Hassan* 1; Heba M.Basheikh2 | ||
| 1Faculty of Graduate Studies and Statistical Research, Cairo University, Egypt | ||
| 2Faculty of Science, King Abul-Aziz University, Egypt | ||
| Abstract | ||
| This article deals with the Bayesian and non-Bayesian estimation of reliability of an s-out-of-k system with identical component strengths which are subjected to a common stress. Assuming that both stress and strength are assumed to have an exponentiated Pareto distribution with known and unequal shape parameters (1, 2). Five non-Bayesian methods of estimation will be used which are maximum likelihood, moments, percentile, least squares and weighted least squares. The Bayesian estimation will be studied under squared error and LINEX loss functions using Lindley's approximation. Based on a Monte Carlo simulation study, comparisons are made between the different estimators of system reliability by obtaining their absolute biases and mean squared errors. Comparison study revealed that the maximum likelihood estimator works the best among the competitors. | ||
| Keywords | ||
| Stress-Strength Model; Reliability - Exponentiated Pareto - Maximum Likelihood Estimator - Moments Estimator - Percentile Estimator - Least Squares Estimator - Weighted Least Squares Estimator - Bayes Estimator - Noninformative Type Prior - Squared Error Loss Function - LI | ||
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