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Copyright (c) 2018 Pakistan Journal of Statistics and Operation Research

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Title

Estimation of Stress-Strength Reliability For Weibull Distribution Based on Type-II Right Censored Ranked Set Sampling Data

Keywords

Stress-strength model, Ranked set sampling, Type-II right censoring, Modified maximum likelihood, Weibull, Monte-Carlo simulation

Description

In this paper, we consider the estimation of stress-strength reliability  under the type-II right censored data when the distributions of both the stress and the strength are Weibull. First, we discuss the estimation of  based on simple random sampling (SRS). Then, we use the effective and the efficient alternative of SRS which is known to be the ranked set sampling (RSS) to estimate . In the estimation procedure of , we use two different approaches they are i) maximum likelihood (ML) which requires an iterative method and ii) modified maximum likelihood (MML) which has an explicit form. Monte-Carlo simulation study is performed to identify the efficient sampling method (i.e., SRS or RSS) and the efficient estimation method (i.e., ML or MML). Finally, strength and wind speed data sets are analyzed to illustrate the proposed methods in practice.


Date

2018-12-25

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 14 No. 4, 2018



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810