Likelihood ratio order of m-spacings for two samples

Maochao Xu, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

For two non-negative random variables X and Y, it is shown that if X is smaller than Y in the sense of the likelihood ratio order and either X or Y is of decreasing likelihood ratio, then the m-spacing Vk : n(m) of an X-sample is smaller than Wk : n(m), the m-spacing of a Y-sample, in terms of the likelihood ratio order. It is also proved that a similar result for the upshifted likelihood ratio order is valid. Finally, it is proved that the decreasing failure rate in average property of a population X is preserved by sample spacing Vk : n(1).

Original languageEnglish
Pages (from-to)4250-4258
Number of pages9
JournalJournal of Statistical Planning and Inference
Volume136
Issue number12
DOIs
StatePublished - 1 Dec 2006

Keywords

  • DLR
  • TP
  • Up shifted likelihood ratio order

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