Reliability Estimation in Stress Strength for Generalized Rayleigh Distribution Using a Lower Record Ranked Set Sampling Scheme

Yinuo Dong and Wenhao Gui ()
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Yinuo Dong: School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China
Wenhao Gui: School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China

Mathematics, 2024, vol. 12, issue 11, 1-15

Abstract: This paper explores the likelihood and Bayesian estimation of the stress–strength reliability parameter ( R ) based on a lower record ranked set sampling scheme from the generalized Rayleigh distribution. Maximum likelihood and Bayesian estimators as well as confidence intervals of R are derived and their properties are studied. Furthermore, two parametric bootstrap confidence intervals are introduced in the paper. A comparative simulation study is conducted to assess the effectiveness of these four confidence interval methodologies in estimating R . The application of the methods is demonstrated using real data on fiber strength to showcase their practicability and relevance in the industry.

Keywords: record ranked set sampling; stress-strength reliability; Bayesian estimation; generalized Rayleigh distribution; bootstrap (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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