Email this article Inequalities for order statistics of samples from distributions with monotone hazard rate
- Authors: Ushakov V.G.1,2, Ushakov N.G.3,4
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Institute of of Informatics Problems, Federal Research Center “Computer Science and Control,”
- Institute of Microelectronics Technology and High Purity Materials
- Norwegian Science and Technology University
- Issue: Vol 93, No 3 (2016)
- Pages: 329-330
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223904
- DOI: https://doi.org/10.1134/S1064562416030303
- ID: 223904
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Abstract
A number of inequalities relating the mathematical expectations of order statistics or functions of order statistics in the case where the sample is taken from a distribution with monotone hazard rate function are presented. These inequalities can be applied in reliability theory and other areas of probability theory and mathematical statistics. In particular, in the paper, they are used to obtain new characterizations of the exponential distribution.
About the authors
V. G. Ushakov
Faculty of Computational Mathematics and Cybernetics; Institute of of Informatics Problems, Federal Research Center “Computer Science and Control,”
Author for correspondence.
Email: vgushakov@mail.ru
Russian Federation, Moscow, 119991; ul. Vavilova 44 korp. 2, Moscow, 119333
N. G. Ushakov
Institute of Microelectronics Technology and High Purity Materials; Norwegian Science and Technology University
Email: vgushakov@mail.ru
Russian Federation, ul. Akademika Osip’yana 6, Chernogolovka, Moscow oblast, 142432; Trondheim
