Bayesian Estimation of Exponentiated Weibull SSPALT Model using Type-I Hybrid Censoring

• 발행기관: 한국자료분석학회
• 저자명: 설상훈(Sanghun Sel) 정윤식(Younshik Chung)
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.18 No.1, 19~29쪽, 전체 11쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2016.02.28

영문 초록

Based on type-I hybrid censoring, we consider estimation of the exponentiated Weibull (EW) distribution under step-stress partially accelerated life tests (SSPALT) well-known test to obtain information on the lifetime distribution in the life test. A type-I hybrid censoring scheme is a mixture of type-I and type-II censoring schemes. In this paper, we introduce a model in SSPALT and determine likelihood functions in type-I hybrid censoring. Maximum likelihood estimates of the model parameters and an acceleration factor are obtained by Newton Raphson method. Also, we obtain Bayes estimates. The model parameters and an acceleration factor are estimated using Lindley s approximation under a squared error loss (SEL) function. Furthermore, we obtain simulation results of the estimators.

목차

1. Introduction

2. Discription of the model and type-I hybrid censoring in SSPALT

3. Maximum likelihood estimates (MLEs)

4. Bayesian estimations

5. Simulation study

6. Conclusion

References

키워드

Step-stress partially accelerated tests (SSPALT) Exponentiated Weibull (EW) Type I hybrid censoring Bayes estimation Lindley s approximation