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We consider systems whose lifetime is measured by the time of physical degradation of components, as well as the degree of power each component contributes to the system. The lifetimes of the components of the system are random variables.…

概率论 · 数学 2025-01-27 Ismihan Bayramoglu

We discuss the construction of component importance measures for binary coherent reliability systems from known stochastic dependence measures by measuring the dependence between system and component failures. We treat both the…

应用统计 · 统计学 2017-10-16 Mario Hellmich

Mathematical models of street traffic allowing assessment of the importance of their individual segments for the functionality of the street system is considering. Based on methods of cooperative games and the reliability theory the…

最优化与控制 · 数学 2021-06-23 Krzysztof J. Szajowski , Kinga Włodarczyk

This special volume of Statistical Sciences presents some innovative, if not provocative, ideas in the area of reliability, or perhaps more appropriately named, integrated system assessment. In this age of exponential growth in science,…

统计方法学 · 统计学 2009-09-29 Sallie Keller-McNulty , Alyson Wilson , Christine Anderson-Cook

This paper proposes a variance-based measure of importance for coherent systems with dependent and heterogeneous components. The particular cases of independent components and homogeneous components are also considered. We model the…

应用统计 · 统计学 2024-09-30 Antonio Arriaza , Jorge Navarro , Miguel Angel Sordo , Alfonso Suárez-Llorens

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

统计理论 · 数学 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

Precedence order is a natural type of comparison for random variables in numerous engineering applications (e.g., for the stress-strength modeling). In this note, we show that, for a $k$-out-of-$n$ system, redundancy at the component level…

应用统计 · 统计学 2017-10-26 Mithu Rani Kuiti , Nil Kamal Hazra , Maxim Finkelstein

Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the…

应用统计 · 统计学 2025-01-31 Banafsheh Lashkari , Shojaeddin Chenouri

The paper develops a novel and general methodology to characterize the nonlinearity of structural systems and to provide a mathematically proven basis for applying partial safety factors to nonlinear structural systems. It establishes, for…

应用统计 · 统计学 2022-12-06 Tammam Bakeer

Building resilience into today's complex infrastructures is critical to the daily functioning of society and its ability to withstand and recover from natural disasters, epidemics, and cyber-threats. This study proposes quantitative…

The systems that statisticians are asked to assess, such as nuclear weapons, infrastructure networks, supercomputer codes and munitions, have become increasingly complex. It is often costly to conduct full system tests. As such, we present…

统计方法学 · 统计学 2009-09-29 Alyson G. Wilson , Todd L. Graves , Michael S. Hamada , C. Shane Reese

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

统计方法学 · 统计学 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

Component-based design paradigm is of paramount importance due to prolific growth in the complexity of modern-day systems. Since the components are developed primarily by multi-party vendors and often assembled to realize the overall…

软件工程 · 计算机科学 2022-05-31 Aritra Hazra

On the basis of an analysis of previous research, we present a generalized approach for measuring the difference of plans with an exemplary application to machine scheduling. Our work is motivated by the need for such measures, which are…

人工智能 · 计算机科学 2015-03-17 Martin Josef Geiger

A measure of complexity based on a probabilistic description of physical systems is proposed. This measure incorporates the main features of the intuitive notion of such a magnitude. It can be applied to many physical situations and to…

混沌动力学 · 物理学 2009-11-07 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

Redundancy represents a strategy for achieving high availability. However, various factors, known as singleness factors, necessitate corresponding redundancy measures. The absence of a systematic approach for identifying these singleness…

分布式、并行与集群计算 · 计算机科学 2023-10-10 Hong Su

The reliability of a system of components depends on reliability of each component. Thus, the initial statistical work should be the estimation of the reliability of each component of the system. This is not an easy task because when the…

Score reliability is necessary for establishing a validity argument for an instrument, and is therefore highly important to investigate. Depending on the proposed instrument use and score interpretations, differing degrees of precision in…

物理教育 · 物理学 2017-02-23 Robert M. Talbot

We propose measurement modeling from the quantitative social sciences as a framework for understanding fairness in computational systems. Computational systems often involve unobservable theoretical constructs, such as socioeconomic status,…

计算机与社会 · 计算机科学 2021-03-16 Abigail Z. Jacobs , Hanna Wallach

Algorithmic robustness refers to the sustained performance of a computational system in the face of change in the nature of the environment in which that system operates or in the task that the system is meant to perform. Below, we motivate…

人工智能 · 计算机科学 2023-11-14 David Jensen , Brian LaMacchia , Ufuk Topcu , Pamela Wisniewski
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