Start-up demonstration tests: models, methods and applications, with some unifications

Authors

  • N. Balakrishnan,

    Corresponding author
    1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L8S 4K1
    2. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia
    • Correspondence to: N. Balakrishnan, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L8S 4K1.

      E-mail: bala@mcmaster.ca

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  • M.V. Koutras,

    1. Department of Statistics and Insurance Science, University of Piraeus, Piraeus, Greece
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    • His research is supported by Aristeia II action under the operational programme “education and lifelong learning”.

  • F.S. Milienos

    1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L8S 4K1
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    • His research is supported by a Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme.


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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