4.3 Article

Statistical Analysis of Exponential Lifetimes Under an Adaptive Type-II Progressive Censoring Scheme

Journal

NAVAL RESEARCH LOGISTICS
Volume 56, Issue 8, Pages 687-698

Publisher

WILEY
DOI: 10.1002/nav.20371

Keywords

Life testing; maximum likelihood estimator; asymptotic methods; coverage probability; exponential distribution

Funding

  1. Research Grants Council of Hong Kong General Research Fund [2150567]
  2. Science and Technology, Government of India

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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 in 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. (C) 2009 Wiley Periodicals, Inc. Naval Research Logistics 56: 687-698 2009

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