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We introduce an additive stochastic mortality model which allows joint modelling and forecasting of underlying death causes. Parameter families for mortality trends can be chosen freely. As model settings become high dimensional, Markov…

Risk Management · Quantitative Finance 2017-05-02 Jonas Hirz , Uwe Schmock , Pavel V. Shevchenko

Mortality forecasting methods in the Lee-Carter tradition extrapolate temporal components via time-series models, often producing forecasts that systematically underpredict life expectancy at long horizons. This bias is consequential for…

Methodology · Statistics 2026-04-15 Samuel J. Clark

Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

A robust multilevel functional data method is proposed to forecast age-specific mortality rate and life expectancy for two or more populations in developed countries with high-quality vital registration systems. It uses a robust multilevel…

Applications · Statistics 2016-09-27 Han Lin Shang

This paper extends the Lee-Carter model for single- and multi-populations to account for pandemic jump effects of vanishing kind, allowing for a more comprehensive and accurate representation of mortality rates during a pandemic,…

Applications · Statistics 2024-08-30 Julius Goes , Karim Barigou , Anne Leucht

Predicting the evolution of mortality rates plays a central role for life insurance and pension funds.Various stochastic frameworks have been developed to model mortality patterns taking into account the main stylized facts driving these…

Applications · Statistics 2021-11-17 Karim Barigou , Pierre-Olivier Goffard , Stéphane Loisel , Yahia Salhi

Multi-state models provide an extension of the usual survival/event-history analysis setting. In the medical domain, multi-state models give the possibility of further investigating intermediate events such as relapse and remission. In this…

Methodology · Statistics 2021-06-24 D. Manevski , H. Putter , M. Pohar Perme , E. F. Bonneville , J. Schetelig , L. C. de Wreede

This research explores how total mortality figures relate to age-standardized death rates within the United States, using the complete historical record of national mortality statistics. Through a detailed investigation of both all-cause…

Other Quantitative Biology · Quantitative Biology 2026-01-21 Brandon Dunbar , Paramahansa Pramanik , Haley Kate Robinson

This paper studies Cox's regression hazard model with an unobservable random frailty where no specific distribution is postulated for the frailty variable, and the marginal lifetime distribution allows both parametric and non-parametric…

Methodology · Statistics 2015-10-09 Vahed Maroufy , Paul Marriott

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

The gradual accumulation of damage and dysregulation during the aging of living organisms can be quantified. Even so, the aging process is complex and has multiple interacting physiological scales -- from the molecular to cellular to whole…

Quantitative Methods · Quantitative Biology 2021-05-06 Spencer Farrell , Garrett Stubbings , Kenneth Rockwood , Arnold Mitnitski , Andrew Rutenberg

As a physical fact, randomness is an inherent and ineliminable aspect in all physical measurements and engineering production. As a consequence, material parameters, serving as input data, are only known in a stochastic sense and thus, also…

Computational Engineering, Finance, and Science · Computer Science 2023-11-22 Hendrik Geisler , Cem Erdogan , Jan Nagel , Philipp Junker

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Semi-competing risks refers to the survival analysis setting where the occurrence of a non-terminal event is subject to whether a terminal event has occurred, but not vice versa. Semi-competing risks arise in a broad range of clinical…

Methodology · Statistics 2024-04-16 Harrison T. Reeder , Junwei Lu , Sebastien Haneuse

The fuzzy linear regression (FLR) modeling was first proposed making use of linear programming and then followed by many improvements in a variety of ways. In almost all approaches changing the meters, objective function, and restrictions…

Statistics Theory · Mathematics 2019-03-04 M. Kashani , M. Arashi , M. R. Rabiei

Existing mortality forecasting methods focus on age-specific mortality rates, which lie in an unconstrained space and overlook the distributional nature of life-table death counts. Few studies have developed and compared forecasting methods…

Methodology · Statistics 2026-04-23 Han Lin Shang , Cristian F. Jiménez-Varón

Machine learning models that aim to predict dementia onset usually follow the classification methodology ignoring the time until an event happens. This study presents an alternative, using survival analysis within the context of machine…

Machine Learning · Computer Science 2023-06-21 Daniel Stamate , Henry Musto , Olesya Ajnakina , Daniel Stahl

High-frequency death counts are now widely available and contain timely information about intra-year mortality dynamics, but most stochastic mortality models are still estimated on annual data and therefore update only when annual totals…

Econometrics · Economics 2026-01-12 Runze Li , Rui Zhou , David Pitt

A rapid decline in mortality and fertility has become major issues in many developed countries over the past few decades. A precise model for forecasting demographic movements is important for decision making in social welfare policies and…

Machine Learning · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

Likelihood profiling is an efficient and powerful frequentist approach for parameter estimation, uncertainty quantification and practical identifiablity analysis. Unfortunately, these methods cannot be easily applied for stochastic models…