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The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

This paper analyzes the differences in poverty in high wealth communities and low wealth communities. We first discuss methods of measuring poverty and analyze the causes of individual poverty and poverty in the Bay Area. Three cases are…

General Economics · Economics 2020-10-06 Merrick Wang , Robert Johnston

The writers propose a mathematical Method for deriving risk weights which describe how a borrower's income, relative to their debt service obligations (serviceability) affects the probability of default of the loan. The Method considers the…

Risk Management · Quantitative Finance 2011-11-24 Graham Andersen , David Chisholm

Income verification is the problem of validating a person's stated income given basic identity information such as name, location, job title and employer. It is widely used in the context of mortgage lending, rental applications and other…

Information Retrieval · Computer Science 2021-06-22 Chirag Mahapatra , Kedar Bellare

Multilateral index numbers are often used to make claims about welfare, such as treating PPPs as cross-country costs of living or real incomes as indicators of living standards. However, such interpretations may not be consistent with the…

General Economics · Economics 2025-12-11 Hubert Wu

In robust statistics, the breakdown point of an estimator is the percentage of outliers with which an estimator still generates reliable estimation. The upper bound of breakdown point is 50%, which means it is not possible to generate…

Machine Learning · Computer Science 2012-10-12 Qinghuai Gao

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

We present a simulation-based evaluation of the Inference Headroom Ratio (IHR), a dimensionless diagnostic quantity for characterizing inference stability in constrained decision systems. IHR formalizes the relationship between a system's…

Artificial Intelligence · Computer Science 2026-04-23 Robert Reinertsen

For the decomposability property is very a practical one in Welfare analysis, most researchers and users favor decomposable poverty indices such as the Foster-Greer-Thorbeck poverty index. This may lead to neglect the so important weighted…

Methodology · Statistics 2012-01-12 Mohamed Cheikh Haidara , Gane Samb Lo

Using images containing information on wealth, this research investigates that pictures are capable of reliably predicting the economic prosperity of households. Without surveys on wealth-related information and human-made standard of…

General Economics · Economics 2022-07-01 Jeonggil Song

Opportunities, such as access to education or family background, shape income inequality by influencing the chances of economic success. Unequal opportunities create uncertainty about whether success is merit- or luck-based. We examine how…

General Economics · Economics 2025-03-03 Marcel Preuss , Germán Reyes , Jason Somerville , Joy Wu

Determining the poverty levels of various regions throughout the world is crucial in identifying interventions for poverty reduction initiatives and directing resources fairly. However, reliable data on global economic livelihoods is hard…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Varun Chitturi , Zaid Nabulsi

Poverty is a multifaceted phenomenon linked to the lack of capabilities of households to earn a sustainable livelihood, increasingly being assessed using multidimensional indicators. Its spatial pattern depends on social, economic,…

Computation and Language · Computer Science 2023-04-28 Atharva Kulkarni , Raya Das , Ravi S. Srivastava , Tanmoy Chakraborty

We use the $f-divergence$ also called relative entropy as a measure of diversity between probability densities and review its basic properties. In the sequence we define a few objects which capture relevant information from the sample of a…

Statistics Theory · Mathematics 2012-06-20 A. R. Baigorri , C. R. Goncalves , P. A. A. Resende

Inequalities are abundant in a society with a number of agents competing for a limited amount of resource. Statistics of such social inequalities are usually represented by the Lorenz function $L(p)$, where $p$ fraction of the population…

Statistical Mechanics · Physics 2021-10-18 Soumyajyoti Biswas , Bikas K. Chakrabarti

Sequential estimation of the success probability $p$ in inverse binomial sampling is considered in this paper. For any estimator $\hat p$, its quality is measured by the risk associated with normalized loss functions of linear-linear or…

Statistics Theory · Mathematics 2018-12-18 Luis Mendo

In this paper we derive inferential results for a new index of inequality, specifically defined for capturing significant changes observed both in the left and in the right tail of the income distributions. The latter shifts are an apparent…

Statistics Theory · Mathematics 2017-06-20 Youri Davydov , Francesca Greselin

Our primary aim is to find an estimate of the expected shortfall in various situations: (1) Nonparametric situation, when the probability distribution of the incurred loss is unknown, only satisfying some general conditions. Then, following…

Methodology · Statistics 2022-12-26 Jana Jurečková , Jan Kalina , Jan Večeř

Income inequality estimators are biased in small samples, leading generally to an underestimation. This aspect deserves particular attention when estimating inequality in small domains and performing small area estimation at the area level.…

Methodology · Statistics 2026-01-23 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Growth rate of real GDP per capita is represented as a sum of two components -- a monotonically decreasing economic trend and fluctuations related to a specific age population change. The economic trend is modeled by an inverse function of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov