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At what level should government or companies support research? This complex multi-faceted question encompasses such qualitative bonus as satisfying natural human curiosity, the quest for knowledge and the impact on education and culture,…

统计力学 · 物理学 2009-10-31 Didier Sornette , Daniel Zajdenweber

We study the rank distribution, the cumulative probability, and the probability density of returns of stock prices of listed firms traded in four stock markets. We find that the rank distribution and the cumulative probability of stock…

其他凝聚态物理 · 物理学 2008-12-02 Kyungsik Kim , S. -M. Yoon , K. H. Chang

Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

统计理论 · 数学 2012-05-14 Peter M. Robinson

Using the empirical data from the Norwegian tax office, we analyse the wealth and income of the richest individuals in Norway during the period 2010--2013. We find that both annual income and wealth level of the richest individuals are…

综合金融 · 定量金融 2017-03-08 Maciej Jagielski , Kordian Czyżewski , Ryszard Kutner , H. Eugene Stanley

This paper offers a two-pronged critique of the empirical investigation of the income distribution performed by physicists over the past decade. Their finding rely on the graphical analysis of the observed distribution of normalized…

计量经济学 · 经济学 2018-04-18 Markus P. A. Schneider

A new multivariate distribution possessing arbitrarily parametrized and positively dependent univariate Pareto margins is introduced. Unlike the probability law of Asimit et al. (2010) [Asimit, V., Furman, E. and Vernic, R. (2010) On a…

风险管理 · 定量金融 2016-07-19 Jianxi Su , Edward Furman

Quasi-power law ensembles are discussed from the perspective of nonextensive Tsallis distributions characterized by a nonextensive parameter $q$. A number of possible sources of such distributions are presented in more detail. It is further…

统计力学 · 物理学 2023-07-19 Grzegorz Wilk , Zbigniew Włodarczyk

The Universe that we know is populated by structures made up of aggregated matter that organizes into a variety of objects; these range from stars to larger objects, such as galaxies or star clusters, composed by stars, gas and dust in…

天体物理学 · 物理学 2008-02-03 J. Pérez-Mercader

The three Power-Laws proposed by Faloutsos et al(1999) are important discoveries among many recent works on finding hidden rules in the seemingly chaotic Internet topology. In this note, we want to point out that the first two laws…

网络与互联网体系结构 · 计算机科学 2007-05-23 Hongsong Chou

The degree distributions of many real world networks follow power-laws whose exponents tend to fall between two and three. Within the framework of the Barabasi-Albert model (BA model), we explain this empirical observation by a simple fact.…

物理与社会 · 物理学 2009-05-19 Shinji Tanimoto

Power-law distributions are typical macroscopic features occurring in almost all complex systems observable in nature. As a result, researchers in quantitative analyses must often generate random synthetic variates obeying power-law…

物理与社会 · 物理学 2014-11-11 Filippo Radicchi

In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that…

综合金融 · 定量金融 2016-03-29 Elvis Oltean

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

统计力学 · 物理学 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

理论经济学 · 经济学 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the marketwith quenched random saving factors for its agents we show that the steady state…

物理与社会 · 物理学 2008-12-10 Arnab Chatterjee , Bikas K. Chakrabarti , Robin B. Stinchcombe

Complex systems theory pays much attention to simple mechanisms producing nontrivial patterns, especially power laws. However, power laws with exponent close to one also result from complex mixtures of mechanisms that, in isolation, would…

适应与自组织系统 · 物理学 2013-12-13 Salvador Pueyo

Distinguishing power-law distributions from other heavy-tailed distributions is challenging, and this task is often further complicated by subsampling effects. In this work, we evaluate the performance of two commonly used methods for…

数据分析、统计与概率 · 物理学 2024-05-09 Silja Sormunen , Lasse Leskelä , Jari Saramäki

For the first time ever, we analyze a unique public procurement database, which includes information about a number of bidders for a contract, a final price, an identification of a winner and an identification of a contracting authority for…

统计金融 · 定量金融 2013-09-03 Ladislav Kristoufek , Jiri Skuhrovec

We theoretically and numerically investigated the threshold network model with a generic weight function where there were a large number of nodes and a high threshold. Our analysis was based on extreme value theory, which gave us a…

统计力学 · 物理学 2009-11-20 A. Fujihara , M. Uchida , H. Miwa

In this paper, we attempt to derive the expression of ensemble average internal energy in long-range interaction complex system. Further, the Shannon entropy hypothesis is used to derive the probability distribution function of energy. It…

统计力学 · 物理学 2019-02-04 Yanxiu Liu , Shenglei Zhang , Liu He , Cheng Xu , Zhifu Huang