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Related papers: Variance Residual Life Ageing Intensity Function

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The ageing intensity function is a powerful analytical tool that provides valuable insights into the ageing process across diverse domains such as reliability engineering, actuarial science, and healthcare. Its applications continue to…

Statistics Theory · Mathematics 2024-09-17 Ashutosh Singh , Ishapathik Das , Asok Kumar Nanda , Sumen Sen

The relative ageing is an important notion which is useful to measure how a system ages relative to another one. Among all existing stochastic orders, there are two important orders describing the relative ageing of two systems, namely,…

Applications · Statistics 2019-06-25 Nil Kamal Hazra , Neeraj Misra

To better understand mortality change with age capturing the variability in individuals' rates of aging, we performed comprehensive analysis of statistical properties of a cumulative index of age-associated disorders (deficits), called a…

Populations and Evolution · Quantitative Biology 2007-05-23 A. Kulminski , A. Yashin , I. Akushevich , S. Ukraintseva , K. Land , K. Arbeev , K. Manton

This paper introduces a simple index that helps to assess the degree of aging or rejuvenation of a (non)repairable system. The index ranges from -1 to 1 and is negative for the class of decreasing failure rate distributions (or…

Methodology · Statistics 2007-11-22 Mark Kaminskiy , Vasiliy Krivtsov

The reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging…

Statistics Theory · Mathematics 2020-09-11 Francesco Buono , Maria Longobardi , Magdalena Szymkowiak

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…

Applications · Statistics 2019-06-21 Nil Kamal Hazra , Neeraj Misra

Further to the proposal and application of a stochastic methodology and the resulting first exit time distribution function to life table data we introduce a theoretical framework for the estimation of the maximum deterioration age and to…

Populations and Evolution · Quantitative Biology 2011-10-04 Christos H Skiadas

Age of information (AoI) is an effective performance metric measuring the freshness of information and is particularly suitable for applications involving status update. In this paper, using the age violation probability as the metric,…

Information Theory · Computer Science 2023-08-11 Kuan-Yu Lin , Yu-Chih Huang , Yu-Pin Hsu

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

Age-of-Information (AoI) is a recently introduced metric for network operation with sensor applications which quantifies the freshness of data. In the context of networked control systems (NCSs), we compare the worth of the AoI metric with…

Information Theory · Computer Science 2019-03-14 Onur Ayan , Mikhail Vilgelm , Markus Klügel , Sandra Hirche , Wolfgang Kellerer

Engineering fatigue is a very prevalent and dangerous phenomenon that limits the useful life span of mechanical structures. It can be found in most engineered structures and machinery that are made from metallic or composite materials. The…

Signal Processing · Electrical Eng. & Systems 2021-04-27 He-Wen-Xuan Li , David Chelidze

Status update systems consist of sensors that take measurements of a physical parameter and transmit them to a remote receiver. Age of Information (AoI) has been studied extensively as a metric for the freshness of information in such…

Information Theory · Computer Science 2021-10-12 Peng Zou , Jin Zhang , Xianglin Wei , Suresh Subramaniam

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…

Applications · Statistics 2012-10-19 Robertas Alzbutas , Tomas Iešmantas

We discuss the response of aging systems with short-range interactions to a class of random perturbations. Although these systems are out of equilibrium, the limit value of the free energy at long times is equal to the equilibrium free…

Disordered Systems and Neural Networks · Physics 2015-06-25 S. Franz , M. Mezard , G. Parisi , L. Peliti

As an emerging metric of communication systems, Age of Information (AoI) has been derived to have a critical impact in networked control systems with unreliable information links. This work sets up a novel model of outage probability in a…

Information Theory · Computer Science 2021-11-30 Bin Han , Siyu Yuan , Zhiyuan Jiang , Yao Zhu , Hans D. Schotten

In this paper, we introduce a new data freshness metric, relative Age of Information (rAoI), and examine it in a single server system with various packet management schemes. The (classical) AoI metric was introduced to measure the staleness…

Information Theory · Computer Science 2019-07-02 Peng Zou , Omur Ozel , Suresh Subramaniam

Different strategies of reliability theory for the analysis of coherent systems have been studied by various researchers. Here, the Gini-type index is utilized as an applicable tool for the study and comparison of the ageing properties of…

Data Analysis, Statistics and Probability · Physics 2021-03-23 Motahareh Parsa , Antonio Di Crescenzo , Hadi Jabbari

The electrification and ongoing energy transition lead to systematic changes in electricity loading and variability in power systems. Distribution systems were designed for regular operating patterns, assuming constant low loading. Now,…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Jochen Lorenz Cremer

We introduce some new generalized stochastic orderings (in the spirit of relative ageing) which compare probability distributions with the exponential distribution. These orderings are useful to understand the phenomenon of positive ageing…

Applications · Statistics 2014-10-21 Nil Kamal Hazra , Asok K. Nanda

Predicting the remaining useful life of machinery, infrastructure, or other equipment can facilitate preemptive maintenance decisions, whereby a failure is prevented through timely repair or replacement. This allows for a better decision…

Machine Learning · Computer Science 2019-07-22 Mathias Kraus , Stefan Feuerriegel
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