Absorption sampling and the absorption distribution
Copyright policy )Absorption sampling and the absorption distribution
The inverse absorption distribution is shown to be aq-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 usingq-series transformations of its probability generating function. Alternative models for the distribution are given.
- University of St Andrews United Kingdom
Stochastic processes, birth-death process, inverse absorption distribution, absorption distribution, basic hypergeometric distributions, \(q\)-Pascal distribution, \(q\)-series, Distribution theory, hesitant random walk
Stochastic processes, birth-death process, inverse absorption distribution, absorption distribution, basic hypergeometric distributions, \(q\)-Pascal distribution, \(q\)-series, Distribution theory, hesitant random walk
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