Statistical Inference of Type-II Progressively Hybrid Censored Data with Weibull Lifetimes

Abstract

In this article, we discuss the maximum likelihood estimators and approximate maximum likelihood estimators of the parameters of the Weibull distribution with two different progressively hybrid censoring schemes. We also present the associated expressions of the expected total test time and the expected effective sample size which will be useful for experimental planning purpose. Finally, the efficiency of the point estimation of the parameters based on the two progressive hybrid censoring schemes are compared and the merits of each censoring scheme are discussed.

Keywords:

• Approximate maximum likelihood estimator
• Extreme-value distribution
• Hybrid censoring
• Life-testing
• Maximum likelihood estimator

Mathematics Subject Classification:

• 62N05
• 62F10

Acknowledgments

The authors are thankful to the Editor and the referees for their valuable comments and helpful suggestions which have much improved the presentation of this article. The authors would also like to thank Mr. Man Yung Mak for his help in computing work. The financial support provided by The National Science of Council of Taiwan (NSC Grant Number 96-2628-M-032-002-MY3) and The Research Grants Council of Hong Kong General Research Grant 2150567 is gratefully acknowledged.