On Estimating Reliability of a Stress – Strength Model in Case of Rayleigh Pareto Distribution

Authors

  • Emad Sh. M. Haddad Department of Mathematics, University Of Anbar, Anbar, Iraq
  • Feras Sh. M. Batah Department of Mathematics, University Of Anbar, Anbar, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.12.23

Keywords:

Rayleigh – Pareto distribution, Stress – Strength model, Order statistic, Maximum likelihood, Estimation methods, Shrinkage Coefficient

Abstract

The stress – strength model is one of the models that are used to compute reliability. In this paper, we derived mathematical formulas for the reliability of the stress – strength model that follows Rayleigh Pareto (Rayl. – Par) distribution. Here, the model has a single component, where strength Y is subjected to a stress X, represented by moment, reliability function, restricted behavior, and ordering statistics. Some estimation methods were used, which are the maximum likelihood, ordinary least squares, and two shrinkage methods, in addition to a newly suggested method for weighting the contraction. The performance of these estimates was studied empirically by using simulation experimentation that could give more varieties for different-sized samples for stress and strength. The most interesting finding indicates the superiority of the proposed shrinkage estimation method.

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Published

2021-12-30

How to Cite

Haddad, E. S. M. . ., & Batah, F. S. M. . (2021). On Estimating Reliability of a Stress – Strength Model in Case of Rayleigh Pareto Distribution. Iraqi Journal of Science, 62(12), 4847–4858. https://doi.org/10.24996/ijs.2021.62.12.23

Issue

Section

Mathematics