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A Comparison Study of the Test for Right Censored and Grouped Data

  • Park, Hyo-Il (Department of Statistics, Chong-Ju University)
  • Received : 2014.12.07
  • Accepted : 2015.06.15
  • Published : 2015.07.31

Abstract

In this research, we compare the efficiency of two test procedures proposed by Prentice and Gloeckler (1978) and Park and Hong (2009) for grouped data with possible right censored observations. Both test statistics were derived using the likelihood ratio principle, but under different semi-parametric models. We review the two statistics with asymptotic normality and consider obtaining empirical powers through a simulation study. The simulation study considers two types of models the location translation model and the scale model. We discuss some interesting features related to the grouped data and obtain null distribution functions with a re-sampling method. Finally we indicate topics for future research.

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