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We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend…

偏微分方程分析 · 数学 2008-10-31 Christoph Walker

Multivariate functional data that are cross-sectionally compositional data are attracting increasing interest in the statistical modeling literature, a major example being trajectories over time of compositions derived from cause-specific…

统计方法学 · 统计学 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

We propose a new theory for aging based on dynamical systems and provide a data-driven computational method to quantify the changes at the cellular level. We use ergodic theory to decompose the dynamics of changes during aging and show that…

定量方法 · 定量生物学 2025-04-18 Farhan Khodaee , Rohola Zandie , Yufan Xia , Elazer R. Edelman

Does the human lifespan have an impenetrable biological upper limit which ultimately will stop further increase in life lengths? This question is important for understanding aging, and for society, and has led to intense controversies.…

应用统计 · 统计学 2017-08-08 Holger Rootzén , Dmitrii Zholud

Age dependent performance disparities in medical image classification often arise because age acts as a confounder, linking imaging morphology with disease prevalence. In practice, disparities can manifest as overdiagnosis at ages where…

计算机视觉与模式识别 · 计算机科学 2026-05-20 Nikhil Cherian Kurian , Victor Caquilpan Parra , Abin Shoby , Luke Whitbread , Lyle J. Palmer

Further to the proposal and application of a stochastic methodology and the resulting first exit time distribution function to life table data we introduce a theoretical framework for the estimation of the maximum deterioration age and to…

种群与进化 · 定量生物学 2011-10-04 Christos H Skiadas

Mathematical and computational modeling approaches are increasingly used as quantitative tools in the analysis and forecasting of infectious disease epidemics. The growing need for realism in addressing complex public health questions is…

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

统计力学 · 物理学 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

High-dimensional functional time series (HDFTS) are often characterized by nonlinear trends and high spatial dimensions. Such data poses unique challenges for modeling and forecasting due to the nonlinearity, nonstationarity, and high…

机器学习 · 统计学 2025-03-28 Haixu Wang , Jiguo Cao

Cohort effects are important factors in determining the evolution of human mortality for certain countries. Extensions of dynamic mortality models with cohort features have been proposed in the literature to account for these factors under…

统计金融 · 定量金融 2019-02-20 Man Chung Fung , Gareth W. Peters , Pavel V. Shevchenko

Age-specific mortality improvements are non-uniform, neither across ages nor across time. We propose a two-step procedure to estimate the rates of mortality improvement (RMI) in age-specific death rates (ASDR) at ages 85 and above for ten…

应用统计 · 统计学 2023-03-30 Trifon I. Missov , Silvio C. Patricio , Francisco Villavicencio

Since the beginning of the COVID-19 pandemic, many dashboards have emerged as useful tools to monitor the evolution of the pandemic, inform the public, and assist governments in decision making. Our goal is to develop a globally applicable…

Predicting mortality-related outcomes from images offers the prospect of accessible, noninvasive, and scalable health screening. We present a method that leverages pretrained vision transformer foundation models to estimate remaining…

计算机视觉与模式识别 · 计算机科学 2025-10-09 Tristan Kenneweg , Philip Kenneweg , Barbara Hammer

The brain-age gap is one of the most investigated risk markers for brain changes across disorders. While the field is progressing towards large-scale models, recently incorporating uncertainty estimates, no model to date provides the…

Child mortality is an important population health indicator. However, many countries lack high-quality vital registration to measure child mortality rates precisely and reliably over time. Research endeavors such as those by the United…

应用统计 · 统计学 2026-01-29 Katherine R Paulson , Taylor Okonek , Jon Wakefield

The age pension aims to assist eligible elderly Australians meet specific age and residency criteria in maintaining basic living standards. In designing efficient pension systems, government policymakers seek to satisfy the expectations of…

应用统计 · 统计学 2024-10-17 Sizhe Chen , Han Lin Shang , Yang Yang

A family of non-equilibrium statistical operators is introduced which differ by the system age distribution over which the quasi-equilibrium (relevant) distribution is averaged. To describe the nonequilibrium states of a system we introduce…

统计力学 · 物理学 2015-05-14 V. V. Ryazanov

The research on mortality is an active area of research for any country where the conclusions are driven from the provided data and conditions. The domain knowledge is an essential but not a mandatory skill (though some knowledge is still…

机器学习 · 计算机科学 2020-09-14 Yasir Nadeem , Awais Ahmed

In a recent article in PNAS, Case and Deaton show a figure illustrating "a marked increase in the all-cause mortality of middle-aged white non-Hispanic men and women in the United States between 1999 and 2013." The authors state that their…

应用统计 · 统计学 2016-04-27 Andrew Gelman , Jonathan Auerbach

Worldwide, many millions of people die suddenly and unexpectedly each year, either with or without a prior history of cardiovascular disease. Such events are sparse (once in a lifetime), many victims will not have had prior investigations…

机器学习 · 计算机科学 2023-09-06 Yola Jones , Fani Deligianni , Jeff Dalton , Pierpaolo Pellicori , John G F Cleland
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