Communications for Statistical Applications and Methods

  • 제24권1호
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  • Pages.29-41
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  • 2017
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Point and interval estimation for a simple step-stress model with Type-I censored data from geometric distribution

  • Arefi, Ahmad (Department of Statistics, Ferdowsi University of Mashhad) ;
  • Razmkhah, Mostafa (Department of Statistics, Ferdowsi University of Mashhad)
  • 투고 : 2016.07.18
  • 심사 : 2016.12.02
  • 발행 : 2017.01.31
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초록

The estimation problem of expected time to failure of units is studied in a discrete set up. A simple step-stress accelerated life testing is considered with a Type-I censored sample from geometric distribution that is a commonly used distribution to model the lifetime of a device in discrete case. Maximum likelihood estimators as well as the associated distributions are derived. Exact, approximate and bootstrap approaches construct confidence intervals that are compared via a simulation study. Optimal confidence intervals are suggested in view of the expected width and coverage probability criteria. An illustrative example is also presented to explain the results of the paper. Finally, some conclusions are stated.

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참고문헌

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