New Test for IDMRL(DIMRL) Alternatives using Censored Data

  • Na, Myung-Hwan (Department of Statistics, Seoul National University) ;
  • Lee, Hyun-Woo (The Research Institute for Basic Science, Seoul National University)
  • 발행 : 1999.04.30

초록

In a resent paper, Na, Lee and Kim(1998) develop a test statistic for testing whether or not the mean residual life changes its trend based on complete data and show that the new test performs better than previously known tests. In this paper, we extend their test to the randomly censored data. The asymptotic normality of the test statistic is established. Monte Carlo simulations are conducted to compare our test with a previously known test by the power of tests.

키워드

참고문헌

  1. Scamdonavian Journal of Statistics v.17 no.3 Tests for Monotonicity Properties of the Mean Residual Life Funcation Aly, E. E. A. A.
  2. The Annals of Statistics v.11 Large Sample Behavior of the Product Limit Estimator on the Whole Line Gill, R. D.
  3. Ph. D. dissertation Testion Whether Mean Residual Life Changes Trend Guess, F.
  4. Annals of Statistics v.14 Testing Exponentiality versus a Trend Change in Mean Residual Life Guess, F.;Hollander, M.;Proschan, F.
  5. Quality Control and Reliability v.7 Mean Residual Life: Theory and Application, Handbook of Statistics Guess, F.;Proschan, F.
  6. Annals of Statistics v.20 Testing exponentiality against IDMRL Distrubutions with Unknow Change Point Hawkins, D. L.;Kochar, S.;Loader, C.
  7. Florida State University Technical Report, M613 Asymptotic Normality of L-statistics with randomly censored date Joe, H.;Proschan, F.
  8. Journal of the Korean Society for Quality Management v.26 no.4 A Study on the Test for Trend Change in Mean Residual Life Na, M. H.;Lee, H.;Kim, J. J.