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The time until the failure of some node of the system or until the end of some stage of the operation of the tribological system is associated with the change in entropy in the system that occurs during this time. Methods of the…

Statistical Mechanics · Physics 2022-08-23 V. V. Ryazanov

Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly concerned by the…

Statistical Mechanics · Physics 2017-07-26 Alvaro Corral

In this paper, the recurrent events that can occur more than one over the follow-up time have been modeled by phase-type distributions. We use the finite-state continuous-time Markov process with multi states for patients with recurrent…

Methodology · Statistics 2022-01-26 Roufeh Asghari , Amin Hassan Zadeh

Many applications involve reasoning about time durations before a critical event happens--also called time-to-event outcomes. When will a customer cancel a subscription, a coma patient wake up, or a convicted criminal reoffend?…

Machine Learning · Statistics 2024-10-03 George H. Chen

We use p-values as a discrepancy criterion for identifying the threshold value at which a regression function takes off from its baseline value -- a problem that is motivated by applications in omics experiments, systems engineering,…

Methodology · Statistics 2010-08-26 Bodhisattva Sen , Moulinath Banerjee , George Michialidis

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

Machine Learning · Computer Science 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

In this paper, we explore a method for treating survival analysis as a classification problem. The method uses a "stacking" idea that collects the features and outcomes of the survival data in a large data frame, and then treats it as a…

Methodology · Statistics 2019-09-27 Chenyang Zhong , Robert Tibshirani

This paper presents a new model for characterising temporal dependence in exceedances above a threshold. The model is based on the class of trawl processes, which are stationary, infinitely divisible stochastic processes. The model for…

Methodology · Statistics 2017-12-19 Ragnhild C. Noven , Almut E. D. Veraart , Axel Gandy

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

Machine Learning · Statistics 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

In medicine, survival analysis studies the time duration to events of interest such as mortality. One major challenge is how to deal with multiple competing events (e.g., multiple disease diagnoses). In this work, we propose a…

Machine Learning · Computer Science 2022-06-29 Zifeng Wang , Jimeng Sun

We study the first hitting time statistics between a one-dimensional run-and-tumble particle and a target site that switches intermittently between visible and invisible phases. The two-state dynamics of the target is independent of the…

Statistical Mechanics · Physics 2021-05-05 Gabriel Mercado-Vásquez , Denis Boyer

When data are right-censored, i.e. some outcomes are missing due to a limited period of observation, survival analysis can compute the "time to event". Multiple classes of outcomes lead to a classification variant: predicting the most…

Artificial Intelligence · Computer Science 2024-06-21 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

Expectile regression is a useful tool for exploring the relation between the response and the explanatory variables beyond the conditional mean. This article develops a continuous threshold expectile regression for modeling data in which…

Methodology · Statistics 2016-11-09 Feipeng Zhang , Qunhua Li

Time-to-event endpoints are central to evaluate treatment efficacy across many disease areas. Many trial protocols include interim analyses within group-sequential designs that control type I error via spending functions or boundary…

Methodology · Statistics 2026-01-19 Edoardo Ratti , Federico L. Perlino , Stefania Galimberti , Maria G. Valsecchi

The focus of a survival study is partly on the distribution of survival times, and partly on the health or quality of life of patients while they live. Health varies over time, and survival is the most basic aspect of health, so the two…

Methodology · Statistics 2016-01-20 Walter Dempsey , Peter McCullagh

Stochastic processes often exhibit sudden systematic changes in pattern a short time before certain failure events. Examples include increase in medical costs before death and decrease in CD4 counts before AIDS diagnosis. To study such…

Applications · Statistics 2010-11-17 Kwun Chuen Gary Chan , Mei-Cheng Wang

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

Methodology · Statistics 2007-08-03 Edsel A. Peña

Survival regression aims to predict the time when an event of interest will take place, typically a death or a failure. A fully parametric method [18] is proposed to estimate the survival function as a mixture of individual parametric…

Machine Learning · Computer Science 2024-04-25 Qinxin Wang , Jiayuan Huang , Junhui Li , Jiaming Liu

The statistics of the first-encounter time of diffusing particles changes drastically when they are placed under confinement. In the present work, we make use of Monte Carlo simulations to study the behavior of a two-particle system in two-…

Statistical Mechanics · Physics 2022-05-06 F. Le Vot , S. B. Yuste , E. Abad , D. S. Grebenkov

When a quantity reaches a value higher (or lower) than its value at any time before, it is said to have made a record. We numerically study the statistical properties of records in the time series of order parameters in different models…

Statistical Mechanics · Physics 2018-08-16 Mily Kundu , Sudip Mukherjee , Soumyajyoti Biswas