Calculation of precise constants in a probability model of Zipf's law generation and asymptotics of sums of multinomial coefficients
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Publication:1751551
DOI10.1155/2017/9143747zbMath1412.60108arXiv1605.09052OpenAlexW3103539625WikidataQ59144870 ScholiaQ59144870MaRDI QIDQ1751551
Vladimir Bochkarev, Eh. Yu. Lerner
Publication date: 25 May 2018
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.09052
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Distribution theory (60E99)
Cites Work
- The Zipf law for random texts with unequal letter probabilities and the Pascal pyramid
- Power Laws for Monkeys Typing Randomly: The Case of Unequal Probabilities
- A Brief History of Generative Models for Power Law and Lognormal Distributions
- Strong power and subexponential laws for an ordered list of trajectories of a Markov chain
- Scaling properties of paths on graphs
- Probability and Statistics by Example
- Word frequency distributions
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