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1. Citizen and community-science (CS) datasets have great potential for estimating interannual patterns of population change given the large volumes of data collected globally every year. Yet, the flexible protocols that enable many CS…

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

Methodology · Statistics 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations and communities allow for birth and death rates to vary among…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev

The Health and Retirement Study is a longitudinal study of US adults enrolled at age 50 and older. We were interested in investigating the effect of a sudden large decline in wealth on the cognitive score of subjects. Our analysis was…

Applications · Statistics 2025-09-16 Yaoyuan Vincent Tan , Carol A. C. Flannagan , Lindsay R. Pool , Michael R. Elliott

New models for evolutionary processes of mutation accumulation allow hypotheses about the age-specificity of mutational effects to be translated into predictions of heterogeneous population hazard functions. We apply these models to…

Populations and Evolution · Quantitative Biology 2009-08-27 Kenneth W. Wachter , David R. Steinsaltz , Steven N. Evans

Machine learning approaches have been effective in predicting adverse outcomes in different clinical settings. These models are often developed and evaluated on datasets with heterogeneous patient populations. However, good predictive…

Machine Learning · Computer Science 2018-06-11 Harini Suresh , Jen J. Gong , John Guttag

We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

Methodology · Statistics 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

Two-part models and Tweedie generalized linear models (GLMs) have been used to model loss costs for short-term insurance contract. For most portfolios of insurance claims, there is typically a large proportion of zero claims that leads to…

Applications · Statistics 2020-06-11 Zhiyu Quan , Zhiguo Wang , Guojun Gan , Emiliano A. Valdez

For Dual-record system, in the context of human population, the popular Chandrasekar-Deming model incorporates only the time variation effect on capture probabilities. How-ever, in practice population may undergo behavioral change after…

Methodology · Statistics 2015-04-30 Kiranmoy Chatterjee , Diganta Mukherjee

Recent studies have identified long-range dependence as a key feature in the dynamics of both mortality and interest rates. Building on this insight, we develop a novel bi-variate stochastic framework based on mixed fractional Brownian…

Risk Management · Quantitative Finance 2025-08-26 Kenneth Q. Zhou , Hongjuan Zhou

Predicting the risk of death for chronic patients is highly valuable for informed medical decision-making. This paper proposes a general framework for dynamic prediction of the risk of death of a patient given her hospitalization history,…

Methodology · Statistics 2024-10-31 Telmo J. Pérez-Izquierdo , Irantzu Barrio , Cristobal Esteban

The paper describes a new class of capture-recapture models for closed populations when individual covariates are available. The novelty consists in combining a latent class model for the distribution of the capture history, where the class…

Methodology · Statistics 2021-11-08 Antonio Forcina , Francesco Bartolucci

The predominant way of modelling mortality rates is the Lee-Carter model and its many extensions. The Lee-Carter model and its many extensions use a latent process to forecast. These models are estimated using a two-step procedure that…

Applications · Statistics 2016-12-14 Eric Beutner , Simon Reese , Jean-Pierre Urbain

We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become locally large. In this model, the individuals of two species…

Analysis of PDEs · Mathematics 2025-10-09 Vincent Bansaye , Alexandre Bertolino , Ayman Moussa

Extended cure survival models enable to separate covariates that affect the probability of an event (or `long-term' survival) from those only affecting the event timing (or `short-term' survival). We propose to generalize the bounded…

Methodology · Statistics 2023-02-03 Lambert Philippe , Kreyenfeld Michaela

The current outbreak of COVID-19 has called renewed attention to the need for sound statistical analysis for monitoring mortality patterns and trends over time. Excess mortality has been suggested as the most appropriate indicator to…

Applications · Statistics 2020-10-13 Patrizio Vanella , Ugofilippo Basellini , Berit Lange

In this article, we investigate the behavior of long-term options. In many cases, option prices follow an exponential decay (or growth) rate for further maturity dates. We determine under what conditions option prices are characterized by…

Mathematical Finance · Quantitative Finance 2016-03-28 Hyungbin Park

The Cox regression, a semi-parametric method of survival analysis, is extremely popular in biomedical applications. The proportional hazards assumption is a key requirement in the Cox model. To accommodate non-proportional hazards, we…

Methodology · Statistics 2022-06-13 Alexander Begun , Elena Kulinskaya

Survival models are a popular tool for the analysis of time to event data with applications in medicine, engineering, economics, and many more. Advances like the Cox proportional hazard model have enabled researchers to better describe…

Machine Learning · Statistics 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

Proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used to deal with survival data in different fields of knowledge. Despite their popularity, such models are not suitable to handle…

Methodology · Statistics 2019-10-08 Fabio N. Demarqui , Vinicius D. Mayrink