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Extended stirling family of discrete probability distributions

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Publication:4269925
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DOI10.1080/03610929708832009zbMath0954.62514OpenAlexW2109906176MaRDI QIDQ4269925

Kazuo Nishimura, Masaaki Sibuya

Publication date: 10 November 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929708832009


zbMATH Keywords

occupancyStirling numberscollisionsrandom partitionsurn modelscoupon collectingnew recordsStirling-Carlitz polynomials


Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Combinatorial probability (60C05)


Related Items

Distributions of random partitions and their applications



Cites Work

  • Unnamed Item
  • Random partition of a finite set by cycles of permutation
  • Log-concavity of Stirling numbers and unimodality of Stirling distributions
  • Non-central Stirling numbers and some applications
  • Characterization of some random partitions
  • Minimum Variance Unbiased Estimation for the Truncated Poisson Distribution
  • Review of the stirling numbers, their generalizations and Statistical Applications
  • On Birthday, Collectors', Occupancy and Other Classical Urn Problems
  • Breaking Records and Breaking Boards
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