Отправить статью по E-mail Inequalities for order statistics of samples from distributions with monotone hazard rate
- Авторы: Ushakov V.G.1,2, Ushakov N.G.3,4
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Учреждения:
- 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
- Выпуск: Том 93, № 3 (2016)
- Страницы: 329-330
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223904
- DOI: https://doi.org/10.1134/S1064562416030303
- ID: 223904
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Аннотация
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.
Об авторах
V. Ushakov
Faculty of Computational Mathematics and Cybernetics; Institute of of Informatics Problems, Federal Research Center “Computer Science and Control,”
Автор, ответственный за переписку.
Email: vgushakov@mail.ru
Россия, Moscow, 119991; ul. Vavilova 44 korp. 2, Moscow, 119333
N. Ushakov
Institute of Microelectronics Technology and High Purity Materials; Norwegian Science and Technology University
Email: vgushakov@mail.ru
Россия, ul. Akademika Osip’yana 6, Chernogolovka, Moscow oblast, 142432; Trondheim
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