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In this paper, we introduce some new notions of aging based on geometric, harmonic means of failure rate and aging intensity function. We define a generalized version of aging functions called specific interval-average geometric hazard…

Statistics Theory · Mathematics 2024-07-02 Subarna Bhattacharjee , Ananda Sen , Sabana Anwar , Aninda Kumar Nanda

Identifying frail older adults in an ageing population is essential for improving healthcare services. This study proposes a composite indicator to assess individual frailty levels using administrative healthcare data. Given the complex and…

Methodology · Statistics 2025-10-07 Sara Rebottini , Pietro Belloni

Background: The relative contribution of different aging-associated processes to the age phenotype may differ among individuals, creating variability in aging manifestations among age-peers. Capturing this variability can significantly…

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

Timely and reliable status updates are essential for emerging QoS-sensitive wireless applications. Common age of information (AoI)-based metrics, such as average AoI and age violation rate (AVR), characterize time-averaged freshness or…

Networking and Internet Architecture · Computer Science 2026-05-14 Haoyuan Pan , Chen Chen , Shiyong Zhou , Kun Chen , Tse-Tin Chan

Aging is a multidimensional process where phenotypes change at varying rates. Longitudinal studies of aging typically involve following a cohort of individuals over the course of several years. This design is hindered by cost, attrition,…

We consider a real-time status update system consisting of a source-destination network. A stochastic process is observed at the source, and samples, so called status updates, are extracted at random time instances, and delivered to the…

Information Theory · Computer Science 2017-01-25 Antzela Kosta , Nikolaos Pappas , Anthony Ephremides , Vangelis Angelakis

Accurately estimating the remaining useful life (RUL) of industrial machinery is beneficial in many real-world applications. Estimation techniques have mainly utilized linear models or neural network based approaches with a focus on short…

Machine Learning · Computer Science 2018-12-11 Lahiru Jayasinghe , Tharaka Samarasinghe , Chau Yuen , Jenny Chen Ni Low , Shuzhi Sam Ge

In this paper, we investigate several properties of the weighted varextropy measure and obtain it for specific distribution functions, such as the equilibrium and weighted distributions. We also obtain bounds for the weighted varextropy, as…

Statistics Theory · Mathematics 2025-07-01 Faranak Goodarzi

Age of Information (AoI) measures the freshness of the information at a remote location. AoI reflects the time that is elapsed since the generation of the packet by a transmitter. In this paper, we consider a remote monitoring problem…

Networking and Internet Architecture · Computer Science 2019-05-14 Anis Elgabli , Hamza Khan , Mounssif Krouka , Mehdi Bennis

Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic model in which the agents modify their binary state by means…

Statistical Mechanics · Physics 2018-09-06 Oriol Artime , Antonio F. Peralta , Raúl Toral , José J. Ramasco , Maxi San Miguel

Received samples of a stochastic process are processed by a server for delivery as updates to a monitor. Each sample belongs to a class that specifies a distribution for its processing time and a function that describes how the value of the…

Information Theory · Computer Science 2024-08-23 Ahmed Arafa , Roy D. Yates

Reinforcement learning (RL) algorithms interact with their environment in a trial-and-error fashion. Such interactions can be expensive, inefficient, and timely when learning on a physical system rather than in a simulation. This work…

Machine Learning · Computer Science 2023-11-17 Tommaso Mannucci , Julio de Oliveira Filho

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of continuous systems. In this paper, we propose an interval method that verifies the properties described by a bounded signal temporal logic.…

Logic in Computer Science · Computer Science 2016-02-09 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

Remaining Useful Life (RUL) of an equipment or one of its components is defined as the time left until the equipment or component reaches its end of useful life. Accurate RUL estimation is exceptionally beneficial to Predictive Maintenance,…

Machine Learning · Computer Science 2019-04-16 Qiyao Wang , Shuai Zheng , Ahmed Farahat , Susumu Serita , Chetan Gupta

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.…

Probability · Mathematics 2025-01-27 Ismihan Bayramoglu

The great majority of engineered products are subject to thermo-mechanical loads which vary with the product environment during the various phases of its life-cycle (machining, assembly, intended service use...). Those load variations may…

Classical Physics · Physics 2009-05-07 Guillaume Mandil , Alain Desrochers , Alain Rivière

Age of information (AoI) has been proposed as a more suitable metric for characterizing the freshness of information than traditional metrics like delay and throughput. However, the calculation of AoI requires complex analysis and strict…

Information Theory · Computer Science 2023-03-07 Licheng Chen , Yunquan Dong

This study develops a methodology by capturing both the battery aging state and degradation rate for improved life prediction performance. The aging state is indicated by six physical features of an equivalent circuit model that are…

Machine Learning · Computer Science 2023-08-29 Mingyuan Zhao , Yongzhi Zhang

Automated verification of living organism models allows us to gain previously unknown knowledge about underlying biological processes. In this paper, we show the benefits to use parametric time Petri nets in order to analyze precisely the…

Logic in Computer Science · Computer Science 2015-06-23 Alexander Andreychenko , Morgan Magnin , Katsumi Inoue

We consider a sequence of related multivariate time series learning tasks, such as predicting failures for different instances of a machine from time series of multi-sensor data, or activity recognition tasks over different individuals from…

Machine Learning · Computer Science 2022-03-15 Vibhor Gupta , Jyoti Narwariya , Pankaj Malhotra , Lovekesh Vig , Gautam Shroff