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Determining an upper bound, particularly the optimal upper bound of the Gini coefficient when dealing with grouped data without specified income brackets, remains an important and open question. In this paper, we introduce an efficient…

Methodology · Statistics 2025-01-15 Pixu Shi , Anru R. Zhang

The Gompertz model since 1825 has significantly contributed to interpretation of ageing in biological and social sciences. However, in modern research findings, it is clear that the Gompertz model is not successful to describe the whole…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

Combinatorics · Mathematics 2020-10-26 Grant Kopitzke

Social inequality manifested across different strata of human existence can be quantified in several ways. Here we compute non-entropic measures of inequality such as Lorenz curve, Gini index and the recently introduced $k$ index…

Physics and Society · Physics 2015-07-17 Jun-ichi Inoue , Asim Ghosh , Arnab Chatterjee , Bikas K. Chakrabarti

We represent a process of learning by using bit strings, where 1-bits represent the knowledge acquired by individuals. Two ways of learning are considered: individual learning by trial-and-error; and social learning by copying knowledge…

Populations and Evolution · Quantitative Biology 2007-05-23 Armando Ticona Bustillos , Paulo Murilo C. de Oliveira

At the physiological level, aging is neither rigid nor unchangeable. Instead, the molecular and mechanisms driving aging are sufficiently plastic that a variety of diverse interventions--dietary, pharmaceutical, and genetic--have been…

Quantitative Methods · Quantitative Biology 2018-08-28 Nicholas Stroustrup

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

Background: The relative contribution of different aging-associated processes to the age phenotype may differ among individuals, creating variability in aging manifestations among age-peers. Capturing this variability can significantly…

Populations and Evolution · Quantitative Biology 2007-05-23 A. Kulminski , A. Yashin , S. Ukraintseva , I. Akushevich , K. Arbeev , K. Land , K. Manton

Accurate estimation of cancer mortality rates and the comparison across cancer sites, populations or time periods is crucial to public health, as identification of vulnerable groups who suffer the most from these diseases may lead to…

Methodology · Statistics 2014-01-31 Martina Fu , David Todem , Wenjiang J. Fu , Shuangge Ma

We present a mathematical simplification for the evolutionary dynamics of a heritable trait within a two-sex population. This trait is assumed to control the timing of sex-specific life-history events, such as the age of sexual maturity and…

Populations and Evolution · Quantitative Biology 2019-07-04 M. H. Chan , K. Hawkes , P. S. Kim

Investigation of age-related genes is of great importance for multiple purposes, for instance, improving our understanding of the mechanism of ageing, increasing life expectancy, age prediction, and other healthcare applications. In his…

Genomics · Quantitative Biology 2021-11-05 Salman Mohamadi , Donald Adjeroh

We present Gemini/GNIRS cross-dispersed near-infrared spectra of 12 nearby early-type galaxies, with the aim of testing commonly used stellar population synthesis models. We select a subset of galaxies from the atlas/ sample which span a…

Astrophysics of Galaxies · Physics 2017-12-06 C. M. Baldwin , R. M. McDermid , H. Kuntschner , C. Maraston , C. Conroy

Due to its ability to summarise 'real-time' epidemic behaviour, the time-dependent reproduction number, Rt, is a useful metric for tracking pathogen transmission and quantifying the effects of interventions during infectious disease…

Populations and Evolution · Quantitative Biology 2026-03-12 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

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

Income and wealth allocation are foundational components of how economies operate. These are complex distributions, and it is hard to get a real sense for their dynamics using simplifications like average or median. One metric that…

General Economics · Economics 2023-04-21 Dave Costenaro

We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move…

Mathematical Finance · Quantitative Finance 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

Trends in human longevity are puzzling, especially when considering the limits of human longevity. Partially, the conflicting assertions are based upon demographic evidence and the interpretation of survival and mortality curves using the…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

We study a mathematical model describing the growth process of a population structured by age and a phenotypical trait, subject to aging, competition between individuals and rare mutations. Our goals are to describe the asymptotic behaviour…

Analysis of PDEs · Mathematics 2020-04-17 Samuel Nordmann , Benoît Perthame , Cécile Taing

Normative aging trends of the brain can serve as an important reference in the assessment of neurological structural disorders. Such models are typically developed from longitudinal brain image data -- follow-up data of the same subject…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Alphin J Thottupattu , Jayanthi Sivaswamy , Venkateswaran P. Krishnan

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