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The analytic derivation of a more general model of survival-mortality and the estimation of a parameter bx related to the Healthy Life Years Lost (HLYL) is followed with the formulation of a computer program providing results similar to…

Populations and Evolution · Quantitative Biology 2019-09-25 Christos H Skiadas , Charilaos Skiadas

For proliferating cells subject to both division and death, how can one estimate the average generation number of the living population without continuous observation or a division-diluting dye? In this paper we provide a method for cell…

Quantitative Methods · Quantitative Biology 2017-04-28 Tom S. Weber , Leila Perie , Ken R. Duffy

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

The study considers the model of an abstract organism, called Arbitrary Oscillator (ArbO), which is capable of making decisions at each timed step. These decisions are 'critical' since, randomly, their outcome can be 'fatal' for ArbO, thus…

Physics and Society · Physics 2026-01-07 Giuseppe Alberti

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

Probability · Mathematics 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

Life appears to have emerged relatively quickly on the Earth, a fact sometimes used to justify a high rate of spontaneous abiogenesis ($\lambda$) among Earth-like worlds. Conditioned upon a single datum - the time of earliest evidence for…

Earth and Planetary Astrophysics · Physics 2018-12-26 Jingjing Chen , David Kipping

This paper is not (or at least not only) about human infant mortality. In line with reliability theory, "infant" will refer here to the time interval following birth during which the mortality (or failure) rate decreases. This definition…

Populations and Evolution · Quantitative Biology 2016-03-15 Sylvie Berrut , Violette Pouillard , Peter Richmond , Bertrand M. Roehner

A method yielding simple relationships among bilateral birth-and-death processes is outlined. This allows one to relate birth and death rates of two processes in such a way that their transition probabilities, first-passage-time densities…

Probability · Mathematics 2008-03-11 Antonio Di Crescenzo

Randomness is one of the important key concepts of statistics. In epidemiology or medical science, we investigate our hypotheses and interpret results through this statistical randomness. We hypothesized by imposing some conditions to this…

Methodology · Statistics 2020-02-11 T. Usuzaki , M. Shimoyama S. Chiba , S. Hotta

Online genealogy datasets contain extensive information about millions of people and their past and present family connections. This vast amount of data can assist in identifying various patterns in human population. In this study, we…

Social and Information Networks · Computer Science 2014-01-07 Michael Fire , Yuval Elovici

This article describes a method to estimate the mortality rate ratio R from current status data with duration in a chronic condition in case the general mortality of the overall population is known. Apart from the general mortality, the…

Methodology · Statistics 2022-10-21 Ralph Brinks

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

We use a combination of extreme value theory, survival analysis and computer-intensive methods to analyze the mortality of Italian and French semi-supercentenarians for whom there are validated records. After accounting for the effects of…

Applications · Statistics 2021-10-01 Léo R. Belzile , Anthony C. Davison , Holger Rootzén , Dmitrii Zholud

The influence of per capita income on life expectancy is well documented, mostly through studies of multinational samples. However, one expects fairly weak correlations at both ends of the life span, that is to say in early infancy and in…

Physics and Society · Physics 2021-09-22 Peter Richmond , Wonguk Cho , Beom Jun Kim , Bertrand M. Roehner

Widespread population aging has made it critical to understand death rates at old ages. However, studying mortality at old ages is challenging because the data are sparse: numbers of survivors and deaths get smaller and smaller with age. We…

Applications · Statistics 2018-03-29 Dennis M. Feehan

In many cohorts (such as the UK Biobank) on which Mendelian Randomization studies are routinely performed, data on participants' longevity is inadequate as the majority of participants are still living. To nevertheless estimate effects on…

Methodology · Statistics 2025-08-06 Zach Shahn , Rehana Rasul , C. Mary Schooling

In a general way at all ages and for almost all diseases, male death rates are higher than female death rates. Here we report a case in which the opposite holds, namely for tuberculosis (TB) mortality between the ages of 5 and 25, female…

Medical Physics · Physics 2018-02-05 Sylvan Berrut , Peter Richmond , Bertrand M. Roehner

A family of non-equilibrium statistical operators is introduced which differ by the system age distribution over which the quasi-equilibrium (relevant) distribution is averaged. To describe the nonequilibrium states of a system we introduce…

Statistical Mechanics · Physics 2015-05-14 V. V. Ryazanov

Birth-death processes track the size of a univariate population, but many biological systems involve interaction between populations, necessitating models for two or more populations simultaneously. A lack of efficient methods for…

Computation · Statistics 2017-08-08 Lam Si Tung Ho , Jason Xu , Forrest W. Crawford , Vladimir N. Minin , Marc A. Suchard

To verify the Global Burden of Disease Study and the provided healthy life expectancy (HALE) estimates from the World Health Organization (WHO) we propose a very simple model based on the mortality {\mu}x of a population provided in a…

Populations and Evolution · Quantitative Biology 2015-10-27 Christos H Skiadas