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A new model that combines economic growth rate fluctuations at the microscopic and macroscopic level is presented. At the microscopic level, firms are growing at different rates while also being exposed to idiosyncratic shocks at the firm…

综合金融 · 定量金融 2018-02-07 Sandro Claudio Lera , Didier Sornette

In this article, a new mathematical model of human population growth as an autonomous non-Markov queuing system with an unlimited number of servers and two types of applications is proposed. The research of this system was carried out a…

概率论 · 数学 2020-05-22 Mariia Nosova

We analyze the fluctuations in the gross domestic product (GDP) of 152 countries for the period 1950--1992. We find that (i) the distribution of annual growth rates for countries of a given GDP decays with ``fatter'' tails than for a…

统计力学 · 物理学 2009-10-31 Youngki Lee , Luis A. N. Amaral , David Canning , Martin Meyer , H. Eugene Stanley

Growth charts are often more informative when they are customized per subject, taking into account prior measurements and possibly other covariates of the subject. We study a global semiparametric quantile regression model that has the…

统计理论 · 数学 2007-06-13 Ying Wei , Xuming He

Many complex systems have been shown to share universal properties of organization, such as scale independence, modularity and self-similarity. We borrow tools from statistical physics in order to study structural preferential attachment…

Cell growth in size is a complex process coordinated by intrinsic and environmental signals. In a recent work [Tzur et al., Science, 2009, 325:167-171], size distributions in an exponentially growing population of mammalian cells were used…

细胞行为 · 定量生物学 2015-06-16 Yucheng Hu , Tianqi Zhu

Gradually Truncated Log-normal distribution - Size distribution of firms Abstract Many natural and economical phenomena are described through power law or log- normal distributions. In these cases, probability decreases very slowly with…

统计力学 · 物理学 2008-12-02 Hari M. Gupta , Jose R. Campanha

We address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size…

综合金融 · 定量金融 2011-12-12 Anindya S. Chakrabarti

We study the correlation structure of firm growth rates. We show that most firms are correlated because of their exposure to a common factor but that firms linked through the supply chain exhibit a stronger correlation on average than firms…

统计金融 · 定量金融 2023-07-04 Luca Mungo , José Moran

We analyze the growth statistics of Swedish trade unions and find a universal functional form for the probability distribution of growth rates of union size, and a power law dependence of the standard deviation of this distribution on the…

适应与自组织系统 · 物理学 2007-05-23 Fredrik Liljeros , Luis A Nunes Amaral , H. Eugene Stanley

A finite point process is characterized by the distribution of the number of points (the size) of the process. In some applications, for example, in the context of packet flows in modern communication networks, it is of interest to infer…

统计理论 · 数学 2016-02-03 Ritwik Chaudhuri , Vladas Pipiras

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

物理与社会 · 物理学 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

In the present paper are considered the self-similarity scaling postulates in order to extend the Thermodynamics to the study of one special class of nonextensive systems: the pseudoextensive, those with exponential behavior for the…

统计力学 · 物理学 2007-05-23 L. Velazquez , F. Guzman

We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled by parameters depending on the social network and the…

动力系统 · 数学 2015-03-11 César M. Silva , Silvério Rosa , Helena Alves , Pedro G. Carvalho

Multivariate elliptically-contoured distributions are widely used for modeling correlated and non-Gaussian data. In this work, we study the kurtosis of the elliptical model, which is an important parameter in many statistical analysis.…

统计理论 · 数学 2024-08-23 Bowen Zhou , Peirong Xu , Cheng Wang

We determine the distribution of size and growthrates of German business firms in 1987-1997. We find a log-normal size distribution. The distribution of growth rates has fat tails. It can be fitted to an exponential in a narrow central…

统计力学 · 物理学 2008-12-02 Johannes Voit

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

种群与进化 · 定量生物学 2015-05-04 David Steinsaltz , Shripad Tuljapurkar

We develop a model for the evolution of economic entities within a geographical type of framework. On a square symmetry lattice made of three (economic) regions, firms, described by a scalar fitness, are allowed to move, adapt, merge or…

统计力学 · 物理学 2009-11-10 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

种群与进化 · 定量生物学 2025-05-28 Manuel Esser , Anna Kraut