The rate of occurrence of failures for semi-Markov processes and estimation

被引：30

作者：

Ouhbi, B

Limnios, N

机构：

[1] Ecole Natl Super Arts & Metiers, Meknes, Morocco

[2] Univ Technol Compiegne, Equipe Math Appl, F-60205 Compiegne, France

来源：

STATISTICS & PROBABILITY LETTERS | 2002年 / 59卷 / 03期

关键词：

rate of occurrence of failures; semi-Markov process; non-parametric estimator; asymptotic properties;

D O I：

10.1016/S0167-7152(02)00139-6

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper investigates the rate of occurrence of failures (ROCOF) of finite state semi-Markov systems. Firstly, a formula for evaluating the ROCOF for semi-Markov systems is derived. As a consequence of this result, we derive the ROCOF of Markov systems as well as the ROCOF of the alternating renewal processes and we give their asymptotic values. From the semi-Markov ROCOF formula, we propose a statistical estimator of this function. Finally, the uniform strong consistency and the asymptotic normality of this estimator are obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 255

页数：11

共 15 条

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[15] [No title captured]

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