Harris族变换下随机阶的保存性质

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Probability and Mathematical Statistics-Poland Pub Date : 2018-12-28 DOI:10.19195/0208-4147.38.2.10

S. Abbasi, M. H. Alamatsaz

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引用次数: 2

摘要

可靠性系统及其部件寿命特性的随机比较是寿命分析中常用的方法。在本文中，我们利用Harris族分布，比较了两组随机分量序列系统在几种随机阶下的寿命。我们的结果碰巧包含了先前在这方面的几个发现。我们还将表明，IHRA、DHRA、NBU和NWU等几个随机顺序和老化特征是通过转化遗传给Harris家族的。最后，对文献中已有的相关结果进行了完善。

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Preservation properties of stochastic orders by transformation to Harris family

Stochastic comparisons of lifetime characteristics of reliability systems and their components are of common use in lifetime analysis. In this paper, using Harris family distributions, we compare lifetimes of two series systems with random number of components, with respect to several types of stochastic orders. Our results happen to enfold several previous findings in this connection. We shall also show that several stochastic orders and ageing characteristics, such as IHRA, DHRA, NBU, and NWU, are inherited by transformation to Harris family. Finally, some refinements are made concerning related existing results in the literature.

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来源期刊

Probability and Mathematical Statistics-Poland STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by the Faculty of Mathematics and Computer Science of University of Wrocław and the Faculty of Pure and Applied Mathematics of Wrocław University of Science and Technology. The purpose of the journal is to publish original contributions to the theory of probability and mathematical statistics.