An algorithm to construct coherent systems using signatures

IF 0.7 4区 数学 Q3 STATISTICS & PROBABILITY
T. V. Rao, Sameen Naqvi
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引用次数: 0

Abstract

The system signature is a useful tool for studying coherent systems. For a given coherent system, various methods have been proposed in the literature to compute its signature. However, when any system signature is given, the literature does not address how to construct the corresponding coherent system(s). In this article we propose an algorithm to address this research gap. This algorithm enables the validation of whether a provided probability vector qualifies as a signature. If it does, the algorithm proceeds to generate the corresponding coherent system(s). To illustrate the applicability of this algorithm, we consider all three and four-dimensional probability vectors, verify if they are signatures, and finally obtain 5 and 20 coherent systems, respectively, which coincides with the literature (Shaked and Suarez-Llorens 2003).

利用签名构建连贯系统的算法
系统签名是研究相干系统的有用工具。对于给定的相干系统,文献中提出了各种计算其特征的方法。然而,当给出任何系统签名时,文献并没有讨论如何构建相应的相干系统。在本文中,我们提出了一种算法来解决这一研究空白。该算法可以验证所提供的概率向量是否符合签名条件。如果符合,算法就会继续生成相应的相干系统。为了说明该算法的适用性,我们考虑了所有三维和四维概率向量,验证它们是否是签名,最后分别得到 5 个和 20 个相干系统,这与文献(Shaked 和 Suarez-Llorens 2003 年)不谋而合。
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
Journal of Applied Probability
Journal of Applied Probability 数学-统计学与概率论
CiteScore
1.50
自引率
10.00%
发文量
92
审稿时长
6-12 weeks
期刊介绍: Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.
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