Probabilistic Properties of Zipf Sets and Their Maximal Intersections

DOI10.1137/s0040585x97t991258zbMath1509.60087MaRDI QIDQ6160482

Unnamed Author, Mikhail Lifshits

Publication date: 10 May 2023

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

random setslaws of large numbersmaximal intersectionsZipf sets

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Strong limit theorems (60F15)

Cites Work

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• Zipf's law and L. Levin probability distributions
• Maximal intersection queries in randomized input models
• On Zipf's law and rank distributions in linguistics and semiotics
• On a general theorem of set theory leading to the Gibbs, Bose-Einstein, and Pareto distributions as well as to the Zipf-Mandelbrot law for the stock market
• Zeroth-order phase transitions and Zipf law quantization

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