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We introduce a new five-parameter family of size distributions on the semi-finite interval $[x_0, \infty), x_0 \geqslant 0$, with two attractive features. First, it interpolates between power laws, such as the Pareto distribution, and power…

Statistics Theory · Mathematics 2016-07-08 Corinne Sinner , Yves Dominicy , Christophe Ley , Julien Trufin , Patrick Weber

Policy targets are being set increasingly for social and economic variables in the UK. This approach requires that reasonably successful ex ante forecasts can be made. We propose a general methodology for assessing the extent to which this…

Condensed Matter · Physics 2007-05-23 Paul Ormerod , Laurence Smith

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

In many U.S. central cities, property values are relatively low, while rents are closer to those in better-off neighborhoods. This gap can lead to relatively large profits for landlords, and has been referred to as "exploitaton" for…

General Economics · Economics 2021-07-13 Scott W. Hegerty

Confronted with the spatial heterogeneity of real estate market, some traditional research utilized Geographically Weighted Regression (GWR) to estimate the house price. However, its kernel function is non-linear, elusive, and complex to…

Applications · Statistics 2022-02-10 Zimo Wang , Yicheng Wang , Sensen Wu

We study the distribution of strike size, which we measure as lost person days, for a long period in several countries of Europe and America. When we consider the full samples, the mixtures of two or three lognormals arise as very…

General Economics · Economics 2023-08-23 Michele Campolieti , Arturo Ramos

Many studies in Economics and other disciplines have been reporting distributions following power-law behavior (i.e distributions of incomes (Pareto's law), city sizes (Zipf's law), frequencies of words in long sequences of text etc.)[1, 6,…

Mathematical Physics · Physics 2008-12-10 Francesco Vallone

A dynamic model of the social relations between workers and capitalists is introduced. The model is deduced from the assumption that the law of value is an organising principle of modern economies. The model self-organises into a dynamic…

Condensed Matter · Physics 2011-03-24 Ian Wright

Social inequalities are ubiquitous and here we show that the values of the Gini ($g$) and Kolkata ($k$) indices, two generic inequality indices, approach each other (starting from $g = 0$ and $k = 0.5$ for equality) as the competitions grow…

We study the mathematical and economic structure of the Kolkata (k) index of income inequality. We show that the k-index always exists and is a unique fixed point of the complementary Lorenz function, where the Lorenz function itself gives…

Theoretical Economics · Economics 2020-10-27 Suchismita Banerjee , Bikas K. Chakrabarti , Manipushpak Mitra , Suresh Mutuswami

The different between the inverse power function and the negative exponential function is significant. The former suggests a complex distribution, while the latter indicates a simple distribution. However, the association of the power-law…

Physics and Society · Physics 2018-12-19 Yanguang Chen

We report an analysis of the accessibility between different locations in big cities, which is illustrated with respect to London and Paris. The effects of the respective underground systems in facilitating more uniform access to diverse…

We study the distribution of neighborhoods across a set of 12 global cities and find that the distribution of neighborhood sizes follows exponential decay across all cities under consideration. We are able to analytically show that this…

Physics and Society · Physics 2020-10-15 Anand Sahasranaman , Henrik Jeldtoft Jensen

City size distributions are known to be well approximated by power laws across a wide range of countries. But such distributions are also meaningful at other spatial scales, such as within certain regions of a country. Using data from…

General Economics · Economics 2019-07-30 Tomoya Mori , Tony E. Smith , Wen-Tai Hsu

The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on the distribution below the very upper tail,…

Physics and Society · Physics 2016-03-29 Hernan Rozenfeld , Diego Rybski , Xavier Gabaix , Hernan A. Makse

This work explores the distribution of citations for the publications of top scientists. A first objective is to find out whether the 80-20 Pareto rule applies, that is if 80% of the citations to a top scientist's work concern 20% of their…

Digital Libraries · Computer Science 2018-10-31 Giovanni Abramo , Ciriaco Andrea D'Angelo , Anastasiia Soldatenkova

The uneven distribution of wealth and individual economic capacities are among the main forces which shape modern societies and arguably bias the emerging social structures. However, the study of correlations between the social network and…

Social and Information Networks · Computer Science 2016-12-15 Yannick Leo , Eric Fleury , J. Ignacio Alvarez-Hamelin , Carlos Sarraute , Márton Karsai

In this paper, we use the house price data ranging from January 2004 to October 2016 to predict the average house price of November and December in 2016 for each district in Beijing, Shanghai, Guangzhou and Shenzhen. We apply Autoregressive…

Machine Learning · Computer Science 2017-09-26 Xiaochen Chen , Lai Wei , Jiaxin Xu

We propose a network description of large market investments, where both stocks and shareholders are represented as vertices connected by weighted links corresponding to shareholdings. In this framework, the in-degree ($k_{in}$) and the sum…

Statistical Mechanics · Physics 2009-02-06 Diego Garlaschelli , Stefano Battiston , Maurizio Castri , Vito D. P. Servedio , Guido Caldarelli

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji , Michiyo Kaizoji
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