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Statistical Inference of Type-II Progressively Hybrid Censored Data with Weibull Lifetimes |
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| Authors: | Chien-Tai Lin Hon Keung Tony Ng Ping Shing Chan |
| Affiliation: | 1. Department of Mathematics , Tamkang University , Tamsui, Taiwan chien@mail.tku.edu.tw;3. Department of Statistical Science , Southern Methodist University , Dallas, Texas, USA;4. Department of Statistics , The Chinese University of Hong Kong , Shatin, Hong Kong |
| 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 |