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Markov Chains with variable length are useful stochastic models for data compression that avoid the curse of dimensionality faced by that full Markov Chains. In this paper we introduce a Variable Length Markov Chain whose transition…

Methodology · Statistics 2020-01-01 Adriano Zanin Zambom , Seonjin Kim , Nancy Lopes Garcia

China is the world's second largest economy. After four decades of economic miracles, China's economy is transitioning into an advanced, knowledge-based economy. Yet, we still lack a detailed understanding of the skills that underly the…

General Economics · Economics 2020-01-10 Weipan Xu , Xiaozhen Qin , Xun Li , Haohui"Caron" Chen , Morgan Frank , Alex Rutherford , Andrew Reeson , Iyad Rahwan

We introduce a simple agent-based model which allows us to analyze three stylized facts: a fat-tailed size distribution of companies, a `tent-shaped' growth rate distribution, the scaling relation of the growth rate variance with firm size,…

General Finance · Quantitative Finance 2013-11-26 Cornelia Metzig , Mirta B. Gordon

A pervasive trend in economic development is the shift from agricultural to manufacturing and finally to service economies. Because the type of employment associated with each sector influences natural resource use this global trend may…

Physics and Society · Physics 2022-12-05 Diego Rybski , David P. Helmers , Prajal Pradhan , Shade T. Shutters , Volker Radeloff , Van Butsic

Several tiers of social organization with varying economic and social disparities have been observed. However, a quantitative characterization of the types and the causal mechanisms for the transitions have hardly been explained. While…

Physics and Society · Physics 2024-07-03 Kenji Itao , Kunihiko Kaneko

A rich theoretical and empirical literature investigated the link between export diversification and firm performance. Prior theoretical works hinted at the key role of capability accumulation in shaping production activities and…

General Economics · Economics 2025-07-30 Valerio De Stefano , Maddalena Mula , Manuel Sebastian Mariani , Andrea Zaccaria

We introduce a continuous-time Markov chain framework for estimating population size from multi-list data, which allows directional interactions to be modelled and can accommodate absorbing lists, such as death records, or more general data…

Methodology · Statistics 2026-05-21 Ophélie Schaller , Andrew Titman , Rachel McCrea

A detailed empirical analysis of the productivity of non financial firms across several countries and years shows that productivity follows a non-Gaussian distribution with power law tails. We demonstrate that these empirical findings can…

Physics and Society · Physics 2009-11-10 T. Di Matteo , T. Aste , M. Gallegati

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

Physics and Society · Physics 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

Predictability of behavior has emerged an an important characteristic in many fields including biology, medicine, and marketing. Behavior can be recorded as a sequence of actions performed by an individual over a given time period. This…

Methodology · Statistics 2017-11-13 Brian Vegetabile , Jenny Molet , Tallie Z. Baram , Hal Stern

Many psychological experiments have subjects repeat a task to gain the statistical precision required to test quantitative theories of psychological performance. In such experiments, time-on-task can have sizable effects on performance,…

Applications · Statistics 2021-11-05 David Gunawan , Guy E. Hawkins , Robert Kohn , Minh-Ngoc Tran , Scott D. Brown

We consider a time-slotted job-assignment system with a central server, N users and a machine which changes its state according to a Markov chain (hence called a Markov machine). The users submit their jobs to the central server according…

Information Theory · Computer Science 2026-02-17 Stavros Mitrolaris , Subhankar Banerjee , Sennur Ulukus

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…

General Finance · Quantitative Finance 2018-02-07 Sandro Claudio Lera , Didier Sornette

We develop a tractable macroeconomic model that captures dynamic behaviors across multiple timescales, including business cycles. The model is anchored in a dynamic capital demand framework reflecting an interactions-based process whereby…

General Economics · Economics 2022-09-08 Karl Naumann-Woleske , Michael Benzaquen , Maxim Gusev , Dimitri Kroujiline

The detection of community structure in stock market is of theoretical and practical significance for the study of financial dynamics and portfolio risk estimation. We here study the community structures in Chinese stock markets from the…

Statistical Finance · Quantitative Finance 2017-08-02 Li-Ling Su , Xiong-Fei Jiang , Sai-Ping Li , Li-Xin Zhong , Fei Ren

Large deviation results are given for a class of perturbed nonhomogeneous Markov chains on finite state space which formally includes some stochastic optimization algorithms. Specifically, let {P_n} be a sequence of transition matrices on a…

Probability · Mathematics 2007-05-23 Zach Dietz , Sunder Sethuraman

In an era of rapid technological advancements and macroeconomic shifts, worker reallocation is necessary, yet responses to labor market shocks remain sluggish, making it crucial to identify bottlenecks in occupational transitions to…

General Economics · Economics 2024-11-18 Max Sina Knicker , Karl Naumann-Woleske , Michael Benzaquen

There is an emerging consensus in the literature that locally embedded capabilities and industrial know-how are key determinants of growth and diversification processes. In order to model these dynamics as a branching process, whereby…

General Economics · Economics 2022-01-20 Neave O'Clery , Stephen Kinsella

Standard micro-economics concentrate on the description of markets but is seldom interested in production. Several economists discussed the concept of a firm, as opposed to an open labour market where entrepreneurs would recrute workers on…

General Finance · Quantitative Finance 2008-12-02 G. Weisbuch , D. Stauffer , D. Mangalagiu , R. Ben-Av , S. Solomon

We consider finite-state time-nonhomogeneous Markov chains where the probability of moving from state $i$ to state $j\neq i$ at time $n$ is $G(i,j)/n^\zeta$ for a ``generator'' matrix $G$ and strength parameter $\zeta>0$. In these chains,…

Probability · Mathematics 2007-05-23 Zach Dietz , Sunder Sethuraman
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