The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics |
| |
Authors: | Asok K. Nanda Moshe Shaked |
| |
Affiliation: | (1) Department of Mathematics, Indian Institute of Technology, Kharagpur, 721 302, India;(2) Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA |
| |
Abstract: | In this paper we first point out a simple observation that can be used successfully in order to translate results about the hazard rate order into results about the reversed hazard rate order. Using it, we derive some interesting new results which compare order statistics in the hazard and in the reversed hazard rate orders; as well as in the usual stochastic order. We also simplify proofs of some known results involving the reversed hazard rate order. Finally, a few further applications of the observation are given. |
| |
Keywords: | Stochastic orders k-out-of-n systems |
本文献已被 SpringerLink 等数据库收录! |
|