Estimation of Reliabilities in Bivariate Weibull Model under Random Censorship

• 발행기관: 한국자료분석학회
• 저자명: Jang Sik Cho Hee Jae Kim Sang Gil Kang
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.5 No.2, 145~152쪽, 전체 8쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2003.06.30

영문 초록

In this paper, we consider two-components system which the lifetimes have a bivariate weibull distribution with censored data. Here the censoring time is independent of the lifetimes of the components. We obtain maximum likelihood estimators(MLE) and the natural estimators for the reliability of series system and P( X < Y), respectively. Also we derive asymptotic properties of the MLE s and the natural estimators and present a numerical study.

목차

1. Introduction

2. Preliminaries

3. Estimations of System Reliabilities

4. Numerical Example

References

키워드

Bivariate weibull distribution Maximum likelihood estimator Natural estimator System reliability