A Modified Test for the Hollander and Proschan's Test Against Decreasing Mean Residual Life Alternatives

  • Kim, Hwan-Joong (Dept. of Computer Science and Statistics, Cheonju Woosuk University) ;
  • Kim, Jae-Joo (Dept. of Computer Science and Statistics, Seoul National University)
  • Published : 1994.03.01

Abstract

In this paper we develop a test for alternatives representing decreasing mean residual life. The test statistic for decreasing mean residual life, $K_{1n}$, is a modified version of Hollander and Proschan's test $V^*$ and critical constants and large sample approximation are shown to make the test readily applicable. Consistency is also shown for the tests based on $K_{1n}$. And small sample powers for four alernatives are obtained.

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