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Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

Methodology · Statistics 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

Although increasingly used as a data resource for assembling cohorts, electronic health records (EHRs) pose many analytic challenges. In particular, a patient's health status influences when and what data are recorded, generating sampling…

Methodology · Statistics 2020-04-28 Yifei Sun , Charles E. McCulloch , Kieren A. Marr , Chiung-Yu Huang

The analysis of event time series is in general challenging. Most time series analysis tools are limited for the analysis of this kind of data. Recurrence analysis, a powerful concept from nonlinear time series analysis, provides several…

Chaotic Dynamics · Physics 2024-09-16 Norbert Marwan

This paper shows that characterizing co-occurrence between events is an important but non-trivial and neglected aspect of discovering potential causal relationships in multimedia event streams. First an introduction to the notion of event…

Multimedia · Computer Science 2016-03-31 Laleh Jalali , Ramesh Jain

In the pursuit of modelling a loan's probability of default (PD) over its lifetime, repeat default events are often ignored when using Cox Proportional Hazard (PH) models. Excluding such events may produce biased and inaccurate…

Risk Management · Quantitative Finance 2026-01-29 Arno Botha , Tanja Verster , Bernard Scheepers

This paper introduces a general framework for analyzing recurrent event data by modeling the conditional mean function of the recurrent event process as the solution to an Ordinary Differential Equation (ODE). This approach not only…

Methodology · Statistics 2025-07-29 Bo Meng , Weijing Tang , Gongjun Xu , Ji Zhu

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

Methodology · Statistics 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

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

Event sequence, asynchronously generated with random timestamp, is ubiquitous among applications. The precise and arbitrary timestamp can carry important clues about the underlying dynamics, and has lent the event data fundamentally…

Machine Learning · Computer Science 2017-05-26 Shuai Xiao , Junchi Yan , Stephen M. Chu , Xiaokang Yang , Hongyuan Zha

Event datasets are sequences of events of various types occurring irregularly over the time-line, and they are increasingly prevalent in numerous domains. Existing work for modeling events using conditional intensities rely on either using…

Machine Learning · Computer Science 2020-02-25 Tian Gao , Dharmashankar Subramanian , Karthikeyan Shanmugam , Debarun Bhattacharjya , Nicholas Mattei

In some settings involving recurrent events, the occurrence of one event may produce a temporary increase in the event intensity; we refer to this phenomenon as a transient carryover effect. This paper provides models and tests for…

Applications · Statistics 2013-01-14 Candemir Çiğşar , Jerald F. Lawless

We consider parameter estimation in a regression model corresponding to an iid sequence of censored observations of a finite state modulated renewal process. The model assumes a similar form as in Cox regression except that the baseline…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska , Wai Tung Ho

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin

Panel count data arise in clinical trials when patients are asked to report their occurrences of events of interest periodically but the exact event times are unknown, only the count of events between two successive examinations are…

Methodology · Statistics 2025-05-29 Jiangjie Zhou , Baosheng Liang

Continuous-time event data are common in applications such as individual behavior data, financial transactions, and medical health records. Modeling such data can be very challenging, in particular for applications with many different types…

Machine Learning · Statistics 2020-11-09 Alex Boyd , Robert Bamler , Stephan Mandt , Padhraic Smyth

Longitudinal settings involving outcome, competing risks and censoring events occurring and recurring in continuous time are common in medical research, but are often analyzed with methods that do not allow for taking post-baseline…

Methodology · Statistics 2025-04-14 Helene C. W. Rytgaard , Mark J. van der Laan

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

Methodology · Statistics 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

Estimation of the intensity of a point process is considered within a nonparametric framework. The intensity measure is unknown and depends on covariates, possibly many more than the observed number of jumps. Only a single trajectory of the…

Statistics Theory · Mathematics 2017-02-20 Alessio Sancetta

Process data, temporally ordered categorical observations, are of recent interest due to its increasing abundance and the desire to extract useful information. A process is a collection of time-stamped events of different types, recording…

Methodology · Statistics 2025-01-08 Guanhua Fang , Zhiliang Ying