Testing unknown age classes of life distributions based on TTT-transform

  • El-Din, M.M. Mohie (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Abu-Youssef, S.E. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Ali, Nahed S.A. (Department of Mathematics, Faculty of Education, Ain Shams University)
  • Published : 2013.06.30

Abstract

A nonparametric procedure for testing exponentially against used better than aged in expectation (UBAE) class of life distributions is presented. We construct a test statistics based on scaled total time on test (TTT)-transformation, to test exponentiality against UBAE class of life distributions. The distribution of the statistic is investigated via simulation. Practical applications of the proposed test are presented.

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