Journal
STATISTICAL METHODOLOGY
Volume 23, Issue -, Pages 18-34Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.stamet.2014.09.002
Keywords
Exponential distribution; Generalized progressive hybrid censoring; Maximum likelihood estimator; Progressive hybrid censoring
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Funding
- Pusan National University
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Recently, progressive hybrid censoring schemes have become quite popular in a life-testing problem and reliability analysis. However, the limitation of the progressive hybrid censoring scheme is that it cannot be applied when few failures occur before time T. In this article, we propose a generalized progressive hybrid censoring scheme, which allows us to observe a pre-specified number of failures. So, the certain number of failures and their survival times are provided all the time. We also derive the exact distribution of the maximum likelihood estimator (MLE) as well as exact confidence interval (CI) for the parameter of the exponential distribution under the generalized progressive hybrid censoring scheme. The results of simulation studies and real-life data analysis are included to illustrate the proposed method. (C) 2014 Elsevier B.V. All rights reserved.
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