English

Multicomponent stress strength reliability estimation for Pareto distribution based on upper record values

Statistics Theory 2024-08-29 v1 Statistics Theory

Abstract

In this article, inferences about the multicomponent stress strength reliability are drawn under the assumption that strength and stress follow independent Pareto distribution with different shapes (α1,α2)(\alpha_1,\alpha_2) and common scale parameter θ\theta. The maximum likelihood estimator, Bayes estimator under squared error and Linear exponential loss function, of multicomponent stress-strength reliability are constructed with corresponding highest posterior density interval for unknown θ.\theta. For known θ,\theta, uniformly minimum variance unbiased estimator and asymptotic distribution of multicomponent stress-strength reliability with asymptotic confidence interval is discussed. Also, various Bootstrap confidence intervals are constructed. A simulation study is conducted to numerically compare the performances of various estimators of multicomponent stress-strength reliability. Finally, a real life example is presented to show the applications of derived results in real life scenarios.

Keywords

Cite

@article{arxiv.1909.13286,
  title  = {Multicomponent stress strength reliability estimation for Pareto distribution based on upper record values},
  author = {Qazi Azhad Jamal and Mohd. Arshad and Nancy Khandelwal},
  journal= {arXiv preprint arXiv:1909.13286},
  year   = {2024}
}

Comments

31 pages, 8 figures, 11 tables

R2 v1 2026-06-23T11:29:25.825Z