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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

Like density functions, period life-table death counts are nonnegative and have a constrained integral, and thus live in a constrained nonlinear space. Implementing established modelling and forecasting methods without obeying these…

Methodology · Statistics 2025-04-02 Han Lin Shang , Steven Haberman

The Wasserstein distance is a metric for assessing distributional differences. The measure originates in optimal transport theory and can be interpreted as the minimal cost of transforming one distribution into another. In this paper, the…

Applications · Statistics 2026-04-21 Markus Sauerberg

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.…

Applications · Statistics 2017-08-08 Holger Rootzén , Dmitrii Zholud

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

In this paper we explore the life expectancy limits by based on the stochastic modeling of mortality and applying the first exit or hitting time theory of a stochastic process. The main assumption is that the health state or the "vitality",…

Chaotic Dynamics · Physics 2011-01-11 Christos H Skiadas , Charilaos Skiadas

Will the United Kingdom's ageing population be fit and independent, or suffer from greater chronic ill health? Healthy life expectancy is commonly used to assess this: it is an estimate of how many years are lived in good health over the…

Statistics Theory · Mathematics 2007-06-13 Ehsan Khoman , Martin Weale

Life expectancies at birth are routinely computed from period life tables. Such period life expectancies may be distorted by selection when comparing countries where the living conditions improved earlier (like Norway and Sweden) with…

Populations and Evolution · Quantitative Biology 2016-09-22 Ørnulf Borgan

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

We consider a compositional data analysis approach to forecasting the age distribution of death counts. Using the age-specific period life-table death counts in Australia obtained from the Human Mortality Database, the compositional data…

Applications · Statistics 2020-09-22 Han Lin Shang , Steven Haberman

Correlations between high life expectancy and low lifespan inequality are frequently observed. A recent article seeks to explain this phenomenon by proposing that a mortality improvement maps to life expectancy and relative lifespan…

Populations and Evolution · Quantitative Biology 2020-11-23 M. J. Wensink

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

Risk Management · Quantitative Finance 2026-03-19 Jean-Loup Dupret , Edouard Motte

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

Applications · Statistics 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

We present an improved statistical method for calculation of mean lifetime of nuclei in a decay chain with uncertain relation between mother and daughter nuclei. The method is based on formation of time distribution of intervals between…

Nuclear Theory · Physics 2017-03-08 J. M. Puzović , D. Manić , L. J. Nađđerđ

We propose a series of methods and models in order to explore the Global Burden of Disease Study and the provided healthy life expectancy HALE estimates from the World Health Organization WHO based on the mortality mx of a population…

Populations and Evolution · Quantitative Biology 2016-03-09 Christos H Skiadas

We introduce a compositional power transformation, known as an {\alpha}-transformation, to model and forecast a time series of life-table death counts, possibly with zero counts observed at older ages. As a generalisation of the isometric…

Applications · Statistics 2024-09-19 Han Lin Shang , Steven Haberman

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…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

In cancer epidemiology using population-based data, regression models for the excess mortality hazard is a useful method to estimate cancer survival and to describe the association between prognosis factors and excess mortality. This method…

Methodology · Statistics 2019-04-19 Francisco J. Rubio , Bernard Rachet , Roch Giorgi , Camille Maringe , Aurelien Belot

The issue of longevity has been long time recognized as one of key concepts in demography. A particular aspect of longevity addressed in this paper is the difference in average observed duration of life for female and male population,…

Physics and Society · Physics 2019-05-09 Toni Cosic , Roko Misetic , Hrvoje Stefancic

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
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