Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Goodness-of-fit tests based on generalized Lorenz curve for progressively Type II censored data from a location-scale distributions

  • Lee, Wonhee (Department of Statistics, Daegu University) ;
  • Lee, Kyeongjun (Division of Mathematics and Big Data Science, Daegu University)
  • Received : 2018.11.01
  • Accepted : 2019.02.07
  • Published : 2019.03.31
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Abstract

The problem of examining how well an assumed distribution fits the data of a sample is of significant and must be examined prior to any inferential process. The observed failure time data of items are often not wholly available in reliability and life-testing studies. Lowering the expense and period associated with tests is important in statistical tests with censored data. Goodness-of-fit tests for perfect data can no longer be used when the observed failure time data are progressive Type II censored (PC) data. Therefore, we propose goodness-of-fit test statistics and a graphical method based on generalized Lorenz curve for PC data from a location-scale distribution. The power of the proposed tests is then assessed through Monte Carlo simulations. Finally, we analyzed two real data set for illustrative purposes.

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References

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