Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Goodness-of-fit Test for the Weibull Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok (Dept. of Statistics, Yeungnam Univ.) ;
  • Han, Jun-Tae (Institute for National Health Insurance, National Health Insurance Co.)
  • Published : 2009.03.30
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Abstract

In this paper, we derive the approximate maximum likelihood estimators of the shape parameter and the scale parameter in a Weibull distribution under multiply Type-II censoring by the approximate maximum likelihood estimation method. We develop three modified empirical distribution function type tests for the Weibull distribution based on multiply Type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.

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References

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  1. On the maximum likelihood estimators for parameters of a Weibull distribution under random censoring vol.23, pp.3, 2016, https://doi.org/10.5351/CSAM.2016.23.3.241