Estimation of the stress–strength reliability using lower record ranked set sampling scheme under the generalized exponential distribution. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Sadeghpour, Amineh; Salehi, Mahdi; Nezakati, Ahmad
• Is Part Of: Journal of statistical computation and simulation. Volume 90:Issue 1(2020)
• Page Start: 51
• Page End: 74
• Publication Date: 2020-01-02
• Subjects: Bootstrap confidence interval -- generalized exponential distribution -- HPD -- maximum likelihood estimator -- record ranked set sampling scheme -- stress–strength reliability -- uniformly minimum variance unbiased estimator; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2019.1672694
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: This paper presents likelihood and Bayesian estimation of stress–strength reliability parameter (say R ) based on lower record ranked set sampling scheme from the generalized exponential distribution. Maximum likelihood, uniformly minimum variance unbiased as well as the Bayesian estimators of R are derived and their properties are studied. Constructing and comparing various confidence intervals for the parameter R is also examined. Finally, the rocket-motor experiment data is analysed for illustrating purposes.