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Limiting size index distributions for ball-bin models with Zipf-type frequencies

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Publication:652589
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DOI10.1007/s10463-010-0276-7zbMath1231.62020OpenAlexW2059034785MaRDI QIDQ652589

Naoto Miyoshi, Satoshi Chida

Publication date: 14 December 2011

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-010-0276-7


zbMATH Keywords

limiting distributionsrandom ball-bin occupancy modelssize indicesZipf-type distribution


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)



Uses Software

  • R


Cites Work

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  • Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
  • Discrete problems in probability theory
  • Generalized hypergeometric, digamma and trigamma distributions
  • A random clustering process
  • Probability and Computing
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