Combination of mean residual life order with reliability applications

Q Mathematics

Statistical Methodology Pub Date : 2016-03-01 DOI:10.1016/j.stamet.2015.10.001

M. Kayid , S. Izadkhah , H. Alhalees

引用次数: 8

Abstract

The purposes of this paper are to introduce a new stochastic order and to study its reliability properties. Some characterizations and preservation properties of the new order under reliability operations of monotone transformation, mixture, weighted distributions and shock models are discussed. In addition, a new class of life distributions is proposed, and some of its reliability properties are investigated. Finally, to illustrate the concepts, some applications in the context of reliability theory and life testing are presented.

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平均剩余寿命顺序与可靠性应用的结合

本文的目的是引入一种新的随机阶数，并研究其可靠度特性。讨论了新阶在单调变换、混合、加权分布和激波模型可靠性操作下的一些表征和保持性质。此外，提出了一类新的寿命分布，并对其可靠性特性进行了研究。最后，为了说明这些概念，给出了在可靠性理论和寿命试验方面的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistical Methodology STATISTICS & PROBABILITY-

CiteScore

0.59

自引率

0.00%

发文量

期刊介绍： Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.