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In this article we discuss some of the consequences of the mixed membership perspective on time series analysis. In its most abstract form, a mixed membership model aims to associate an individual entity with some set of attributes based on…

Methodology · Statistics 2013-09-16 Emily B. Fox , Michael I. Jordan

Multi-state survival analysis considers several potential events of interest along a disease pathway. Such analyses are crucial to model complex patient trajectories and are increasingly being used in epidemiological and health economic…

Methodology · Statistics 2021-04-30 Jonathan Broomfield , Caroline E. Weibull , Michael J. Crowther

We propose a semi-structured discrete-time multi-state model to analyse mortgage delinquency transitions. This model combines an easy-to-understand structured additive predictor, which includes linear effects and smooth functions of time…

Applications · Statistics 2026-03-30 Victor Medina-Olivares , Wangzhen Xia , Stefan Lessmann , Nadja Klein

The multivariate time series generated from merchant transaction history can provide critical insights for payment processing companies. The capability of predicting merchants' future is crucial for fraud detection and recommendation…

Machine Learning · Computer Science 2021-09-22 Chin-Chia Michael Yeh , Zhongfang Zhuang , Wei Zhang , Liang Wang

A feature of current membrane systems is the fact that objects and membranes are persistent. However, this is not true in the real world. In fact, cells and intracellular proteins have a well-defined lifetime. Inspired from these biological…

Formal Languages and Automata Theory · Computer Science 2009-10-08 Bogdan Aman , Gabriel Ciobanu

For model-based estimation methods, the modeling that is as close to reality as possible makes a vital estimation result. In simple applications, it is sufficient to model a system with a single state space model. However, there are…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sebastian Dingler

Life assurance companies typically possess a wealth of data covering multiple systems and databases. These data are often used for analyzing the past and for describing the present. Taking account of the past, the future is mostly…

Machine Learning · Statistics 2022-02-21 Andreas Groll , Carsten Wasserfuhr , Leonid Zeldin

The need to model and analyse dynamic systems operating over complex data is ubiquitous in AI and neighboring areas, in particular business process management. Analysing such data-aware systems is a notoriously difficult problem, as they…

Logic in Computer Science · Computer Science 2023-10-20 Alessandro Gianola , Marco Montali , Sarah Winkler

Many insurance products and pension plans provide benefits which are related to couples, and thus under influence of the survival status of two lives. Some studies show the future lifetime of couples is correlated. Three reasons are…

Applications · Statistics 2018-06-27 Amin Hassan Zadeh , Soroush Amirhashchi

Most machine learning models for predicting clinical outcomes are developed using historical data. Yet, even if these models are deployed in the near future, dataset shift over time may result in less than ideal performance. To capture this…

Machine Learning · Computer Science 2023-06-21 Christina X Ji , Ahmed M Alaa , David Sontag

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

Optimization and Control · Mathematics 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

We study how nonlinear, state-dependent health dynamics shape economic behavior, inequality, and the evaluation of disability insurance at older ages. Using English panel data, we construct a continuous health index and estimate its…

General Economics · Economics 2026-01-08 Chiara Dal Bianco , Andrea Moro

This paper considers the problem of predicting the number of events that have occurred in the past, but which are not yet observed due to a delay. Such delayed events are relevant in predicting the future cost of warranties, pricing…

Risk Management · Quantitative Finance 2019-03-27 Jonas Crevecoeur , Katrien Antonio , Roel Verbelen

Point and interval estimation of future disability inception and recovery rates are predominantly carried out by combining generalized linear models (GLM) with time series forecasting techniques into a two-step method involving parameter…

Applications · Statistics 2014-12-24 Boualem Djehiche , Björn Löfdahl

State-switching models such as hidden Markov models or Markov-switching regression models are routinely applied to analyse sequences of observations that are driven by underlying non-observable states. Coupled state-switching models extend…

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

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

Predicting metrics associated with entities' transnational behavior within payment processing networks is essential for system monitoring. Multivariate time series, aggregated from the past transaction history, can provide valuable insights…

Machine Learning · Computer Science 2021-09-23 Chin-Chia Michael Yeh , Zhongfang Zhuang , Junpeng Wang , Yan Zheng , Javid Ebrahimi , Ryan Mercer , Liang Wang , Wei Zhang

Master equations are commonly used to model the dynamics of physical systems, including systems that implement single-valued functions like a computer's update step. However, many such functions cannot be implemented by any master equation,…

Statistical Mechanics · Physics 2019-04-23 David H. Wolpert , Artemy Kolchinsky , Jeremy A. Owen

Insurance and annuity products covering several lives require the modelling of the joint distribution of future lifetimes. In the interest of simplifying calculations, it is common in practice to assume that the future lifetimes among a…

Risk Management · Quantitative Finance 2016-01-19 François Dufresne , Enkelejd Hashorva , Gildas Ratovomirija , Youssouf Toukourou