Some Shifted Stochastic Orders
In this paper we study some known and some new shifted orders. We compare them, we obtain some basic properties of them, we derive some closure properties of them, and we show how they can be used for stochastic comparisons of order statistics; that is, of k-out-of-n systems.
Keywords and phrasesLogconcavity logconvexity stochastic orders order statistics hazard rate likelihood ratio k-out-of-n systems
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