Zipf's law and maximum sustainable growth

DOI10.1016/j.jedc.2013.02.004zbMath1402.91378arXiv1012.0199OpenAlexW2060830753MaRDI QIDQ1994248

Alexander I. Saichev, Yannick Malevergne, Didier Sornette

Publication date: 1 November 2018

Published in: Journal of Economic Dynamics \& Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0199

zbMATH Keywords

Gibrat's lawZipf's lawfirm growth

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Statistical methods; risk measures (91G70) Economic growth models (91B62)

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Cites Work

• Unnamed Item
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• A statistical equilibrium model of competitive firms
• Theory of Zipf's law and beyond
• An introduction to the theory of point processes
• A Guide to First-Passage Processes
• The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions
• ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
• Some further notes on a class of skew distribution functions
• Selection, Growth, and the Size Distribution of Firms
• Zipf's Law for Cities: An Explanation
• On the Mechanics of Firm Growth
• Urban Structure and Growth
• On the Gibrat Distribution
• The Pareto, Zipf and other power laws