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We provide forecasts for mortality rates by using two different approaches. First we employ dynamic non-linear logistic models based on Heligman-Pollard formula. Second, we assume that the dynamics of the mortality rates can be modelled…

Applications · Statistics 2019-01-29 Angelos Alexopoulos , Petros Dellaportas , Jonathan J. Forster

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

Forecasts of mortality provide vital information about future populations, with implications for pension and health-care policy as well as for decisions made by private companies about life insurance and annuity pricing. Stochastic…

Applications · Statistics 2018-06-21 Jason Hilton , Erengul Dodd , Jonathan J. Forster , Peter W. F. Smith

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

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

Adult death rates are a critical indicator of population health and wellbeing. Wealthy countries have high-quality vital registration systems, but poor countries lack this infrastructure and must rely on estimates that are often…

Applications · Statistics 2017-08-01 Dennis M. Feehan , Mary Mahy , Matthew J. Salganik

We propose a probabilistic mortality forecasting model that can be applied to derive forecasts for populations with regular and irregular mortality developments. Our model (1) uses rates of mortality improvement to model dynamic age…

Applications · Statistics 2014-01-14 Christina Bohk , Roland Rau

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

A new stochastic method for describing mortality is proposed and explored. It is based on differences of observed times series of the transform $\log(-\log x)$ of survival probabilities which seem to follow simple patterns over the years.…

Applications · Statistics 2015-02-26 Meitner Cadena

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

In this paper, we provide a comprehensive cross-country validation study of compositional mortality modeling and forecasting methods. Thus, we consider two one-to-one transformations: the cumulative distribution function and the centered…

Applications · Statistics 2026-03-20 Han Lin Shang , Steven Haberman

\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

Age-specific life-table death counts observed over time are examples of densities. Non-negativity and summability are constraints that sometimes require modifications of standard linear statistical methods. The centered log-ratio…

Methodology · Statistics 2025-10-28 Han Lin Shang , Steven Haberman

The risk of dying increases exponentially with age, in humans as well as in many other species. This increase is often attributed to the "accumulation of damage" known to occur in many biological structures and systems. The aim of this…

Populations and Evolution · Quantitative Biology 2020-07-01 Anders Ledberg

Smoking is one of the main risk factors that has affected human mortality and life expectancy over the past century. Smoking accounts for a large part of the nonlinearities in the growth of life expectancy and of the geographic and sex…

Applications · Statistics 2019-10-29 Yicheng Li , Adrian E. Raftery

Following our previous works on the health state of a population and the related health state function we proceed in developing a method to estimate the Healthy Life Expectancy in connection to the relative impact of the Mortality Area in…

Populations and Evolution · Quantitative Biology 2012-05-15 Christos H. Skiadas , Charilaos Skiadas

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

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

Many existing mortality models follow the framework of classical factor models, such as the Lee-Carter model and its variants. Latent common factors in factor models are defined as time-related mortality indices (such as $\kappa_t$ in the…

Methodology · Statistics 2021-02-04 Lingyu He , Fei Huang , Jianjie Shi , Yanrong Yang

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
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