Absorption sampling and the absorption distribution.

Adrienne Winifred Kemp

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

The inverse absorption distribution is shown to be a q-Pascal analogue of the Kemp and Kemp (1991) q-binomial distribution. The probabilities for the direct absorption distribution are obtained via the inverse absorption probabilities and exact expressions for its first two factorial moments are derived using q-series transformations of its probability generating function. Alternative models for the distribution are given.

Original languageEnglish
Pages (from-to)489-494
Number of pages6
JournalJournal of Applied Probability
Volume35
Issue number2
Publication statusPublished - Jun 1998

Keywords

  • absorption distribution
  • inverse absorption distribution
  • q-Pascal distribution
  • q-series
  • basic hypergeometric distributions
  • birth-death process
  • hesitant random walk

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