Statistical analysis of exponential lifetimes under an adaptive Type-II progressive censoring scheme

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 progressiv...

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Veröffentlicht in:Naval research logistics 2009-12, Vol.56 (8), p.687-698
Hauptverfasser: Ng, Hon Keung Tony, Kundu, Debasis, Chan, Ping Shing
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Kundu, Debasis
Chan, Ping Shing
description 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
doi_str_mv 10.1002/nav.20371
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subjects asymptotic methods
Computer simulation
coverage probability
exponential distribution
Failure
Failure rates
Life testing
Logistics
maximum likelihood estimator
Monte Carlo methods
Naval
Samples
Statistical analysis
title Statistical analysis of exponential lifetimes under an adaptive Type-II progressive censoring scheme
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