Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Goodness-of-fit tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples

  • Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
  • Han, Jun-Tae (Research Management Team, Korea Student Aid Foundation) ;
  • Seo, Yeon-Ju (Department of Statistics, Yeungnam University) ;
  • Jeong, Jina (Research Management Team, Korea Student Aid Foundation)
  • Received : 2014.05.06
  • Accepted : 2014.06.10
  • Published : 2014.07.31
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Abstract

The inverse Weibull distribution has been proposed as a model in the analysis of life testing data. Also, inverse Weibull distribution has been recently derived as a suitable model to describe degradation phenomena of mechanical components such as the dynamic components (pistons, crankshaft, etc.) of diesel engines. In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the shape parameter in the inverse Weibull distribution under multiply type-II censoring. We also develop four modified empirical distribution function (EDF) type tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.

Keywords

References

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