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Failure times of a machinery cannot always be assumed independent and identically distributed, e.g. if after reparations the machinery is not restored to a same-as-new condition. Framed within the renewal processes approach, a…

应用统计 · 统计学 2019-05-14 Arrigo Coen , Luis Gutiérrez , Ramsés H. Mena

We analyze the problem of comparing unitary transformations. The task is to decide, with minimal resources and maximal reliability, whether two given unitary transformations are identical or different. It is possible to make such…

量子物理 · 物理学 2009-11-07 Erika Andersson , Igor Jex , Stephen M. Barnett

In a dependent multi-component system, increasing the deterioration of a part leads to the increased deterioration rate of other parts as well. In these systems, a deterioration limit is usually pre-determined for each part and the…

系统与控制 · 电气工程与系统科学 2019-07-25 Hamed Badakhsh , Mohammad Pirhooshyaran , Abdolhamid Eshragh-Jahromi

In this paper, a repairable multi-component system is studied where all the components can be repaired individually within the system. The whole system is inspected at inspection intervals and the failed components are detected and replaced…

信号处理 · 电气工程与系统科学 2020-02-04 Nooshin Yousefi , David W. Coit , Zhu Xiaoyan

In this paper, a new reliability model has been developed for a single system degrading stochastically which experiences soft and hard failure. Soft failure occurs when the physical deterioration level of the system is greater than a…

统计理论 · 数学 2019-03-04 Nooshin Yousefi , David W. Coit

This paper develops maintenance policies for a system under condition monitoring. We assume that a number of defects may develop and the degradation process of each defect follows a gamma process, respectively. The system is inspected…

系统与控制 · 电气工程与系统科学 2024-09-21 Shaomin Wu , Inma T. Castro

Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study ageing faster orders in the hazard and the reversed hazard…

应用统计 · 统计学 2019-06-21 Nil Kamal Hazra , Neeraj Misra

The paper discusses how to evaluate the reliability of units produced by different production lines. The procedure is based on selecting independent random samples of units produced by different production lines and then evaluating…

I develop a tractable adverse-selection model comparing secured bank loans and bonds when both pledge collateral but differ in effective liquidation efficiency. A small wedge in recovery rates generates coexistence, a sharp bank-bond…

理论经济学 · 经济学 2025-12-01 Georgy Lukyanov

Self-assessment rules play an essential role in safe and effective real-world robotic applications, which verify the feasibility of the selected action before actual execution. But how to utilize the self-assessment results to re-choose…

机器人学 · 计算机科学 2023-02-28 Kechun Xu , Runjian Chen , Shuqi Zhao , Zizhang Li , Hongxiang Yu , Ci Chen , Yue Wang , Rong Xiong

In this paper authors present a general methodology for age dependent reliability analysis of degrading or ageing systems, structures and components.The methodology is based on Bayesian methods and inference, its ability to incorporate…

应用统计 · 统计学 2012-10-19 Robertas Alzbutas , Tomas Iešmantas

A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where…

概率论 · 数学 2014-09-03 Sophie Mercier , H. H. Pham

In a system, there are identical replaceable components working for a given task and a failed component is replaced by a functioning one in the corresponding position, which characterizes a repairable system. Assuming that a replaced…

We study the problem of learning a good set of policies, so that when combined together, they can solve a wide variety of unseen reinforcement learning tasks with no or very little new data. Specifically, we consider the framework of…

机器学习 · 计算机科学 2022-03-16 Safa Alver , Doina Precup

This manuscript studies the preventive replacement policy for a series or parallel system consisting of n independent or dependent heterogeneous components. Firstly, for the age replacement policy, Some sufficient conditions for the…

统计理论 · 数学 2024-07-26 Jiale Niu , Rongfang Yan

The preservation of stochastic orders by distortion functions has become a topic of increasing interest in the reliability analysis of coherent systems. The reason of this interest is that the reliability function of a coherent system with…

应用统计 · 统计学 2024-09-30 Antonio Arriaza , Miguel Angel Sordo

In this paper, we establish a mathematical duality between utility transforms and probability distortions. These transforms play a central role in decision under risk by forming the foundation for the classic theories of expected utility,…

理论经济学 · 经济学 2024-03-21 Christopher P. Chambers , Peng Liu , Ruodu Wang

Conformal prediction has been a very popular method of distribution-free predictive inference in recent years in machine learning and statistics. Its popularity stems from the fact that it works as a wrapper around any prediction algorithm…

统计方法学 · 统计学 2021-06-07 Arun Kumar Kuchibhotla

In this paper we present a new way of predicting the performance of a reinforcement learning policy given historical data that may have been generated by a different policy. The ability to evaluate a policy from historical data is important…

机器学习 · 计算机科学 2016-04-05 Philip S. Thomas , Emma Brunskill

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a…

人工智能 · 计算机科学 2017-03-07 Arthur Van Camp , Gert de Cooman
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