System Reliability from Stress-Strength Relationship in Bivariate Weibull Distribution under Bivariate Random Censorship

• 발행기관: 한국자료분석학회
• 저자명: Jang Sik Cho Im Hee Shin
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.6 No.1, 121~128쪽, 전체 8쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2004.02.28

영문 초록

In this paper, we consider two components parallel system in lifetime model. These two components are subjected to a common stress which is independent of the strengths of the components. We assume that strengths of two components system have a bivariate Weibull distribution with bivariate random censored data. And we obtain estimators for the system reliability from stress-strength relationship based on likelihood function and relative frequency. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.

목차

1. Introduction

2. Preliminaries and Notations

3. Estimation for the System Reliability

4. Numerical Example

References

키워드

Bivariate Weibull distribution Bivariate random censored data Maximum likelihood estimator Relative frequency estimator Reliability Stress-Strength