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In genetic studies of complex diseases, the underlying mode of inheritance is often not known. Thus, the most powerful test or other optimal procedure for one model, e.g. recessive, may be quite inefficient if another model, e.g. dominant,…

Statistics Theory · Mathematics 2007-06-13 Gang Zheng , Boris Freidlin , Joseph L. Gastwirth

We study age-structured branching models with reproduction law depending on the remaining lifetime of the parent. The lifespan of an individual is decided at its birth and its remaining lifetime decreases at the unit speed. The models…

Probability · Mathematics 2024-01-08 Ziling Cheng , Zenghu Li

Human life expectancy has dramatically improved over the course of the last century. Although this reflects a global improvement in sanitation and medical care, this also implies that more people suffer from diseases that typically manifest…

Other Quantitative Biology · Quantitative Biology 2022-07-11 Alexis Rapin , Maroun Bou Sleiman , Johan Auwerx

Blood Pressure (BP) is a biological signal related to the cardiovascular system that inevitably is affected by ageing. Moreover, it is also influenced by the presence of cardiovascular risk factors. To evaluate how the relationship be-tween…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Giulia Silveri , Lorenzo Pascazio , Milos Ajcevic , Aleksandar Miladinovic , Agostino Accardo1

We consider a large, homogeneous portfolio of life or disability annuity policies. The policies are assumed to be independent conditional on an external stochastic process representing the economic-demographic environment. Using a…

Risk Management · Quantitative Finance 2014-08-27 Boualem Djehiche , Björn Löfdahl

Forest-fire and avalanche models support the notion that frequent catastrophes prevent the growth of very large populations and as such prevent rare large-scale catastrophes. We show that this notion is not universal. A new model class…

Populations and Evolution · Quantitative Biology 2018-08-08 N. Dori , H. Behar , H. Brot , Y. Louzoun

We present, solve and numerically simulate a simple model that describes the consequences of increased longevity on fertility rates, population growth and the distribution of wealth in developed societies. We look at the consequences of the…

General Finance · Quantitative Finance 2011-08-08 Aleksandar Bogojevic , Antun Balaz , Rasa Karapandza

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

The Gini coefficient of the life table is a concentration index that provides information on lifespan variation. Originally proposed by economists to measure income and wealth inequalities, it has been widely used in population studies to…

Populations and Evolution · Quantitative Biology 2022-09-28 José Manuel Aburto , Ugofilippo Basellini , Annette Baudisch , Francisco Villavicencio

In actuarial research, a task of particular interest and importance is to predict the loss cost for individual risks so that informative decisions are made in various insurance operations such as underwriting, ratemaking, and capital…

Applications · Statistics 2019-10-15 Peng Shi , Zifeng Zhao

This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is…

Statistics Theory · Mathematics 2021-12-17 Arindam Panja , Pradip Kundu , Biswabrata Pradhan

In the past six decades, lifespan inequality has varied greatly within and among countries even while life expectancy has continued to increase. How and why does mortality change generate this diversity? We derive a precise link between…

Populations and Evolution · Quantitative Biology 2013-11-22 Duncan O. S. Gillespie , Meredith V. Trotter , Shripad D. Tuljapurkar

We consider systems whose lifetime is measured by the time of physical degradation of components, as well as the degree of power each component contributes to the system. The lifetimes of the components of the system are random variables.…

Probability · Mathematics 2025-01-27 Ismihan Bayramoglu

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

How does social complexity depend on population size and cultural transmission? Kinship structures in traditional societies provide a fundamental illustration, where cultural rules between clans determine people's marriage possibilities.…

Physics and Society · Physics 2024-07-16 Kenji Itao , Kunihiko Kaneko

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…

Methodology · Statistics 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

The state of health of patients is typically not characterized by a single disease alone but by multiple (comorbid) medical conditions. These comorbidities may depend strongly on age and gender. We propose a specific phenomenological…

Medical Physics · Physics 2016-10-03 Anna Chmiel , Peter Klimek , Stefan Thurner

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

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

Aging is a multidimensional process where phenotypes change at varying rates. Longitudinal studies of aging typically involve following a cohort of individuals over the course of several years. This design is hindered by cost, attrition,…

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