q-analogues of the hyper-Poisson distribution

C D Kemp

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Two q-analogues of the hyper-Poisson distribution are derived via the Heine and Euler q-analogues of the Poisson distribution. The paper examines some of their properties and provides models based on mixtures of other q-distributions. Group-size models are also given. (C) 2002 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)179-183
Number of pages5
JournalJournal of Statistical Planning and Inference
Volume101
Issue number1-2
DOIs
Publication statusPublished - 15 Feb 2002

Keywords

  • q-hyper-Poisson distributions
  • Heine distribution
  • Euler distribution
  • q-deformed distributions
  • group-size model
  • birth-death process

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