The Zipf law for random texts with unequal letter probabilities and the Pascal pyramid

DOI10.3103/S1066369X12120031zbMath1262.68170arXiv1205.0796OpenAlexW3103367795MaRDI QIDQ1941676

Eh. Yu. Lerner, Vladimir Bochkarev

Publication date: 21 March 2013

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0796

zbMATH Keywords

order statisticsfunctional equationspower lawsmonkey modelPascal pyramidrecursive sequencesZipf law

Mathematics Subject Classification ID

Combinatorics on words (68R15) Combinatorial probability (60C05) Natural language processing (68T50)

Related Items (2)

Calculation of precise constants in a probability model of Zipf's law generation and asymptotics of sums of multinomial coefficients ⋮ Zipf's law for randomly generated frequencies: explicit tests for the goodness-of-fit

Cites Work

• On Zipf's law and rank distributions in linguistics and semiotics
• Power Laws for Monkeys Typing Randomly: The Case of Unequal Probabilities

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