Statistical analysis of exponential lifetimes under an adaptive Type‐II progressive censoring scheme |
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| Authors: | Hon Keung Tony Ng Debasis Kundu Ping Shing Chan |
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| Institution: | 1. Department of Statistical Science, Southern Methodist University, Dallas, Texas 75275‐0332;2. Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, Uttarpradesh, India;3. Department of Statistics, The Chinese University of Hong Kong, Shatin, Hong Kong |
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| Abstract: | In this article, a mixture of Type‐I censoring and Type‐II progressive censoring schemes, called an adaptive Type‐II progressive censoring scheme, is introduced for life testing or reliability experiments. For this censoring scheme, the effective sample size m is fixed in advance, and the progressive censoring scheme is provided but the number of items progressively removed from the experiment upon failure may change during the experiment. If the experimental time exceeds a prefixed time T but the number of observed failures does not reach m, we terminate the experiment as soon as possible by adjusting the number of items progressively removed from the experiment upon failure. Computational formulae for the expected total test time are provided. Point and interval estimation of the failure rate for exponentially distributed failure times are discussed for this censoring scheme. The various methods are compared using Monte Carlo simulation. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009 |
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| Keywords: | Life testing maximum likelihood estimator asymptotic methods coverage probability exponential distribution |
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