Preservation of some likelihood ratio stochastic orders by order statistics

Rosa E. Lillo, Asok K. Nanda and Moshe Shaked

Statistics & Probability Letters, 2001, vol. 51, issue 2, 111-119

Abstract: We show that the order statistics, in a sample from a distribution that has a logconcave density function, are ordered in the up shifted likelihood ratio order. We also show that the order statistics from two different collections of random variables are ordered in the up shifted likelihood ratio order or in the regular likelihood ratio order, if the underlying random variables are so ordered. Some results about the down shifted likelihood ratio order are also included in this paper. Finally it is indicated how the results can be applied in reliability theory.

Keywords: Likelihood; ratio; order; DFR; Equilibrium; rate; Logconcave; and; logconvex; densities; k-out-of-n; reliability; systems (search for similar items in EconPapers)
Date: 2001
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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