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The share of the world population living in cities with more than one million people rose from 11% in 1975 to 24% in 2025 (our estimates). Will this trend towards greater concentration in large cities continue or level off? We introduce two…

Physics and Society · Physics 2026-03-31 Andrea Musso , Diego Rybski , Dirk Helbing , Frank Neffke

Many insurance products and pension plans provide benefits which are related to couples, and thus under influence of the survival status of two lives. Some studies show the future lifetime of couples is correlated. Three reasons are…

Applications · Statistics 2018-06-27 Amin Hassan Zadeh , Soroush Amirhashchi

Some partial orderings which compare probability distributions with the expo- nential distribution, are found to be very useful to understand the phenomenon of ageing. Here, we introduce some new generalized partial orderings which de-…

Applications · Statistics 2014-10-09 Asok K. Nanda , Nil Kamal Hazra , D. K. Al-Mutairi , M. E. Ghitany

This paper generalizes a previously published differential equation that describes the relation between the age-specific incidence, remission, and mortality of a disease with its prevalence. The underlying model is a simple compartment…

Populations and Evolution · Quantitative Biology 2012-09-07 Ralph Brinks

This study examines the relationship between automation and income inequality across different countries, taking into account the varying levels of technological adoption and labor market institutions. The research employs a panel data…

General Economics · Economics 2023-04-18 Asuna Gilfoyle

Despite increasing cognitive demands of jobs, knowledge about the role of health in retirement has centered on its physical dimensions. This paper estimates a dynamic programming model of retirement that incorporates multiple health…

General Economics · Economics 2023-08-28 Jiayi Wen

The probability of the survival of the population of individuals of both sexes of given mature age, procreation rate and structure stability has been searched in the numerical experiment. The populations with long period of reproduction and…

Condensed Matter · Physics 2007-05-23 Kazimierz Pater

Ageing populations in developing countries have spurred the introduction of public pension programs to preserve the standard of living for the elderly. The often-overlooked mechanism of intergenerational transfers, however, can dampen these…

General Economics · Economics 2021-11-08 Plamen Nikolov , Alan Adelman

We introduce some new generalized stochastic orderings (in the spirit of relative ageing) which compare probability distributions with the exponential distribution. These orderings are useful to understand the phenomenon of positive ageing…

Applications · Statistics 2014-10-21 Nil Kamal Hazra , Asok K. Nanda

Neutral models for the dynamics of a system of competing species are used, nowadays, to describe a wide variety of empirical communities. These models are used in many situations, ranging from population genetics and ecological biodiversity…

Populations and Evolution · Quantitative Biology 2015-10-28 Matan Danino , Nadav M. Shnerb

The relative ageing is an important notion which is useful to measure how a system ages relative to another one. Among all existing stochastic orders, there are two important orders describing the relative ageing of two systems, namely,…

Applications · Statistics 2019-06-25 Nil Kamal Hazra , Neeraj Misra

Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study ageing faster orders in the hazard and the reversed hazard…

Applications · Statistics 2019-06-21 Nil Kamal Hazra , Neeraj Misra

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

Justification bias, wherein retirees may report poorer health to rationalize their retirement, poses a major concern to the widely-used measure of self-assessed health in retirement studies. This paper introduces a novel method for testing…

General Economics · Economics 2024-03-12 Jiayi Wen , Zixi Ye , Xuan Zhang

The stability of income payments in a pooled annuity fund is studied. In those funds, members receive a fluctuating income depending on their experienced mortality in exchange for their pension savings. The focus is on describing the…

Risk Management · Quantitative Finance 2022-08-12 Thomas Bernhardt , Ge Qu

We establish convergence to the Kingman coalescent for a class of age-structured population models with time-constant population size. Time is discrete with unit called a year. Offspring numbers in a year may depend on mother's age.

Probability · Mathematics 2007-05-23 Serik Sagitov , Peter Jagers

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

Genomics · Quantitative Biology 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat

Using a lifecycle framework with Epstein-Zin (1989) utility and a mixed-integer optimization approach, we compute the optimal age to claim Social Security benefits. Taking advantage of homogeneity, a sufficient statistic is the ratio of…

Physics and Society · Physics 2021-06-02 Steven Diamond , Stephen Boyd , David Greenberg , Mykel Kochenderfer , Andrew Ang

The paper discusses a connection between asymmetric reproduction -- that is reproduction in a parent-child relationship where the parent does not mutate during reproduction --, the fact that all non-viral lifeforms bear genes of their…

Populations and Evolution · Quantitative Biology 2015-08-11 Norbert Michael Mayer

The provision of intergenerational care, via the Grandmother Hypothesis, has been implicated in the evolution of post-fertile longevity, particularly in humans. However, if grandmothering does provide fitness benefits, a key question is why…

Populations and Evolution · Quantitative Biology 2017-05-01 Jared M. Field , Michael B. Bonsall
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