A new application of R = P[Y < X] for the inverse Lindley distribution using ranked set sampling. Issue 8 (17th November 2021)

• Record Type: Journal Article
• Authors: Hassan, Marwa Kh.; Alohali, Manal I.; Alojail, Fatimah A.
• Is Part Of: Journal of statistics & management systems. Volume 24:Issue 8(2021)
• Page Start: 1713
• Page End: 1731
• Publication Date: 2021-11-17
• Subjects: 62D05 -- 62F40 -- 62F12 -- 62N05; Ranked set sampling (RSS) -- Inverse Lindley distribution (ILD) -- Maximum likelihood estimator (MLE) -- Simulation study -- Bootstrap confidence interval (BCI) -- Asymptotic confidence interval (ACI); Statistics -- Periodicals; Mathematical models -- Periodicals; Mathematical models; Statistics; Periodicals; 519.5
• DOI: 10.1080/09720510.2020.1833467
• Languages: English
• ISSNs: 0972-0510

Abstract

Abstract: In this paper, we consider the problem of performing inference about reliability parameter R = P [ Y < X ] based on ranked set sampling (RSS) when the distribution of stress Y and strength X are inverse Lindley. The point estimator of R based on (RSS) using maximum likelihood method is obtained. In context of interval estimation an asymptotic confidence interval (ACI) and bootstrap confidence interval (BCI) are derived for R based on (RSS). The effectiveness of the proposed estimator is indicated in simulation study which compare the proposed estimators by their corresponding based on simple random sample (SRS). Finally a real data in medicine is used to illustrate our proposed estimators.