An approach to non-homogenous phase-type distributions through multiple cut-points

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-13 DOI:10.1080/08982112.2023.2168202

J. E. Ruiz-Castro, Christian Acal, J. Roldán

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Abstract

Abstract A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natural extension of the distribution proposed by Acal et al. (One cut-point phase-type distributions in reliability. An application to resistive random access memories. Mathematics 9(21):2734, 2021) for more than one cut-point. Multiple interesting measures such as density function, hazard rate or moments, among others, were worked out both for the continuous and discrete case. Besides, a new EM-algorithm is provided to estimate the parameters by maximum likelihood. The results have been implemented computationally in R and simulation studies reveal that this new distribution reduces the number of parameters to be estimated in the optimization process and, in addition, it improves the fitting accuracy in comparison with the classical phase-type distributions, especially in heavy tailed distributions. An application is presented in the context of resistive memories with a new set of electron devices for nonvolatile memory circuits. In particular, the voltage associated with the resistive switching processes that control the internal behavior of resistive memories has been modeled with this new distribution to shed light on the physical mechanisms behind the operation of these memories.

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多切点非均匀相位型分布的一种方法

本文介绍了一种基于相位型分布的新分布，用于可靠性分析领域的寿命数据建模。这是Acal等人提出的分布的自然扩展(可靠性中的一种切点相位型分布)。电阻式随机存取存储器的应用。数学9(21):2734,2021)为多个切割点。在连续和离散情况下，计算出了密度函数、危险率或矩等多种有趣的度量。在此基础上，提出了一种基于极大似然的参数估计算法。结果在R中进行了计算实现，仿真研究表明，与经典相型分布相比，这种新分布减少了优化过程中需要估计的参数数量，并且提高了拟合精度，特别是在重尾分布中。本文介绍了一种用于非易失性存储电路的新型电子器件在电阻式存储器中的应用。特别是，与控制电阻存储器内部行为的电阻开关过程相关的电压已经用这种新的分布进行了建模，以阐明这些存储器操作背后的物理机制。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.