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The stochastic system approach to causality is applied to situations where the risk of death is not negligible. This approach grounds causality on physical laws, distinguishes system and observation and represents the system by multivariate…

Methodology · Statistics 2016-10-07 Daniel Commenges

An essential input of annuity pricing is the future retiree mortality. From observed age-specific mortality data, modeling and forecasting can be taken place in two routes. On the one hand, we can first truncate the available data to…

Applications · Statistics 2020-09-21 Han Lin Shang , Steven Haberman

A well-established insight in mortality forecasting is that combining predictions from a set of models improves accuracy compared to relying on a single best model. This paper proposes a novel ensemble approach based on Shapley values, a…

Applications · Statistics 2026-03-05 G. Bimonte , M. Russolillo , Y. Yang , H. L. Shang

The primary goal of this paper is to introduce a novel frailty model based on the weighted Lindley (WL) distribution for modeling clustered survival data. We study the statistical properties of the proposed model. In particular, the amount…

Methodology · Statistics 2022-06-28 Diego I. Gallardo , Marcelo Bourguignon

A multilevel functional data method is adapted for forecasting age-specific mortality for two or more populations in developed countries with high-quality vital registration systems. It uses multilevel functional principal component…

Applications · Statistics 2016-09-30 Han Lin Shang

High-frequency mortality data have attracted growing attention, but their use has largely been confined to specific applications rather than general modelling and forecasting. Such data pose new challenges to traditional mortality models…

Applications · Statistics 2026-05-14 Ziting Miao , Han Li , Yuyu Chen

In studies of recurrent events, joint modeling approaches are often needed to allow for potential dependent censoring by a terminal event such as death. Joint frailty models for recurrent events and death with an additional dependence…

Methodology · Statistics 2023-04-25 Marie Böhnstedt , Jutta Gampe , Monique A. A. Caljouw , Hein Putter

How long people live depends on their health, and how it changes with age. Individual health can be tracked by the accumulation of age-related health deficits. The fraction of age-related deficits is a simple quantitative measure of human…

Quantitative Methods · Quantitative Biology 2016-03-23 Swadhin Taneja , Arnold B. Mitnitski , Kenneth Rockwood , Andrew D. Rutenberg

The decrease in the increase in death rates at old ages is a phenomenon that has repeatedly been discussed in demographic research. While mortality deceleration can be explained in the gamma-Gompertz model as an effect of selection in…

Applications · Statistics 2019-05-16 Marie Böhnstedt , Hein Putter , Nadine Ouellette , Gerda Claeskens , Jutta Gampe

This paper presents a novel approach for modeling mortality rates above age 70 by proposing a mixture-based model. This model is compared to four other widely used models: the Beard, Gompertz, Makeham, and Perks models. Our model can…

Applications · Statistics 2023-01-18 Silvio C. Patricio , Fredy Castellares , Bernardo L. Queiroz

The significance of mortality modeling extends across multiple research areas, ranging from life insurance valuation to optimal lifetime decision-making. Existing approaches, such as mortality laws and factor-based models, often fall short…

Applications · Statistics 2024-10-23 Xiaobai Zhu , Kenneth Q. Zhou , Zijia Wang

This work proposes a method for modeling and forecasting mortality rates. It constitutes an improvement over previous studies by incorporating both the historical evolution of the mortality phenomenon and its random behavior. In the first…

Statistics Theory · Mathematics 2025-05-27 Tomás Caraballo , Francisco Morillas , José Valero

Model averaging techniques in the actuarial literature aim to forecast future longevity appropriately by combining forecasts derived from various models. This approach often yields more accurate predictions than those generated by a single…

Applications · Statistics 2025-10-28 Giovanna Bimonte , Maria Russolillo , Han Lin Shang , Yang Yang

In this paper, we discuss the impact of some mortality data anomalies on an internal model capturing longevity risk in the Solvency 2 framework. In particular, we are concerned with abnormal cohort effects such as those for generations 1919…

Risk Management · Quantitative Finance 2020-09-02 Fabrice Balland , Alexandre Boumezoued , Laurent Devineau , Marine Habart , Tom Popa

The improvement of mortality projection is a pivotal topic in the diverse branches related to insurance, demography, and public policy. Motivated by the thread of Lee-Carter related models, we propose a Bayesian model to estimate and…

Applications · Statistics 2021-02-24 Zhen Liu , Xiaoqian Sun , Leping Liu , Yu-Bo Wang

Human mortality data sets can be expressed as multiway data arrays, the dimensions of which correspond to categories by which mortality rates are reported, such as age, sex, country and year. Regression models for such data typically assume…

Methodology · Statistics 2014-04-15 Bailey K. Fosdick , Peter D. Hoff

The aim of this paper is to study the construction of prospective mortality tables from a low number of persons subjected to risk. The presented models are the Lee-Carter and log-Poisson methods respectively. The low number of people…

Statistical Finance · Quantitative Finance 2010-01-13 Frédéric Planchet , Vincent Lelieur

Dependent survival data arise in many contexts. One context is clustered survival data, where survival data are collected on clusters such as families or medical centers. Dependent survival data also arise when multiple survival times are…

Methodology · Statistics 2022-05-12 Malka Gorfine , David M. Zucker

Successful forecasting models strike a balance between parsimony and flexibility. This is often achieved by employing suitable shrinkage priors that penalize model complexity but also reward model fit. In this note, we modify the stochastic…

Econometrics · Economics 2020-05-15 Florian Huber , Michael Pfarrhofer

A stochastic genetic model for biological aging is introduced bridging the gap between the bit-string Penna model and the Pletcher-Neuhauser approach. The phenomenon of exponentially increasing mortality function at intermediate ages and…

Statistical Mechanics · Physics 2007-05-23 Zhi-Feng Huang , Dietrich Stauffer