Start‐up demonstration tests: models,methods and applications,with some unifications |
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| Authors: | N. Balakrishnan F.S. Milienos |
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| Affiliation: | 1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L8S 4K1;2. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | Start‐up demonstration tests were first discussed in the quality/reliability literature about three decades ago. Since then, many variations of these tests have been introduced, and the corresponding distributional characteristics and inferential methods have also been studied. All these developments, based on independent and identically distributed binary trials, have been further generalized to some other forms of trials such as Markov‐dependent trials, exchangeable trials and multistate trials. In this paper, we provide a comprehensive review of all these results and highlight some unifications of the results. We also describe a general estimation method and then present several numerical examples to illustrate some of the models and methods described here. Finally, a number of open issues in this area of research are pointed out. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | start‐up demonstration tests i.i.d. binary trials Markov‐dependent trials exchangeable trials multistate trials waiting time distribution runs scans sooner waiting time problems two‐stage tests parallel tests corrective actions method of moments maximum likelihood method EM algorithm interval estimation optimal design Markov chain embedding technique generating function approach CS model CSTS model CSTF model CSCF model TSTF model TSCF model TSCSTF model CSTFCF model TSTFCF model TSCSCF model TSCSTFCF model scan statistics‐based models multistate models |
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