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We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

Methodology · Statistics 2007-08-03 Bo Henry Lindqvist

Given the growing environmental challenges, accurate monitoring and prediction of changes in water bodies are essential for sustainable management and conservation. The Continuous Monitoring of Land Disturbance (COLD) algorithm provides a…

Machine Learning · Computer Science 2025-04-07 Huong Pham , Samuel Cheng , Tao Hu , Chengbin Deng

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…

Statistics Theory · Mathematics 2019-03-04 Nooshin Yousefi , David W. Coit

In recent years, more attention has been paid prominently to accelerated degradation testing in order to characterize accurate estimation of reliability properties for systems that are designed to work properly for years of even decades.…

Applications · Statistics 2021-09-23 Helmi Shat

Condition-based maintenance of rotating mechanics requests efficient bearings degradation monitoring. The accuracy of bearings degradation measure depends largely on degradation indicators. To extract efficient indicators, in this paper we…

Information Retrieval · Computer Science 2020-12-08 Fei Huang , Alexandre Sava , Kondo H. Adjallah , Wang Zhouhang

Classic estimation methods for Hawkes processes rely on the assumption that observed event times are indeed a realisation of a Hawkes process, without considering any potential perturbation of the model. However, in practice, observations…

Methodology · Statistics 2025-08-21 Anna Bonnet , Felix Cheysson , Miguel Martinez Herrera , Maxime Sangnier

Over the past few decades, the Hawkes process has become a popular framework for modeling temporal events thanks to its flexibility to capture different dependency structures. The objective of this work is to model call sequences emitted by…

Methodology · Statistics 2025-07-29 Anna Bonnet , Stéphane Robin

Semiconductors are widely used in various applications and critical infrastructures. These devices have specified lifetimes and quality targets that manufacturers must achieve. Lifetime estimation is conducted through accelerated stress…

Applications · Statistics 2025-01-14 Lukas Sommeregger , Jürgen Pilz

The degradation of sewer pipes poses significant economical, environmental and health concerns. The maintenance of such assets requires structured plans to perform inspections, which are more efficient when structural and environmental…

Machine Learning · Computer Science 2023-07-14 Fidae El Morer , Stefan Wittek , Andreas Rausch

The Hawkes process is a self-exciting sample point process. It has wide applications in finance, social networks, criminology, seismology, and many other fields. With the development of storage technology, data-driven models are attracting…

Probability · Mathematics 2021-06-23 Haixu Wang

We consider hyperbolic partial differential equations (PDEs) for a dynamic description of the traffic behavior in road networks. These equations are coupled to a Hawkes process that models traffic accidents taking into account their…

Numerical Analysis · Mathematics 2024-11-08 Simone Göttlich , Thomas Schillinger

We present a data-driven optimization approach for robotic controlled deposition with a degradable tool. Existing methods make the assumption that the tool tip is not changing or is replaced frequently. Errors can accumulate over time as…

Robotics · Computer Science 2023-05-29 Tony Zheng , Monimoy Bujarbaruah , Francesco Borrelli

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

The Hawkes process is a model for counting the number of arrivals to a system which exhibits the self-exciting property - that one arrival creates a heightened chance of further arrivals in the near future. The model, and its…

Methodology · Statistics 2024-05-20 Patrick J. Laub , Young Lee , Philip K. Pollett , Thomas Taimre

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

Applications · Statistics 2016-09-27 Alexey Artemov , Evgeny Burnaev

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Embedded digital devices are progressively deployed in dependable or safety-critical systems. These devices undergo significant hardware ageing, particularly in harsh environments. This increases their likelihood of failure. It is crucial…

Hardware Architecture · Computer Science 2025-04-21 Leandro Lanzieri , Gianluca Martino , Goerschwin Fey , Holger Schlarb , Thomas C. Schmidt , Matthias Wählisch

Hydrogels have had a profound impact in the fields of tissue engineering, drug delivery, and materials science as a whole. Due to the network architecture of these materials, imbibement with water often results in uniform swelling and…

Hydrogen-based zero-emission ships are a key element in the decarbonization of the maritime sector. To strengthen these their economic competitiveness, it is key to drive their costs to a minimum. Current literature mainly focuses on fuel…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Timon Kopka , Sara Tamburello , Luca Oneto , Lindert van Biert , Henk Polinder , Andrea Coraddu

Leaks represent a very important hazard for the buildings and they can affect all sorts of building materials and specially wood due to its hygroscopic properties. Excessive moisture content can affect in a negative way building processes…

Other Computer Science · Computer Science 2013-07-04 Ivan Arakistain , Jose Miguel Abascal , Oriol Munne
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