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 language | English |
|---|---|
| Pages (from-to) | 489-494 |
| Number of pages | 6 |
| Journal | Journal of Applied Probability |
| Volume | 35 |
| Issue number | 2 |
| Publication status | Published - Jun 1998 |
Keywords
- absorption distribution
- inverse absorption distribution
- q-Pascal distribution
- q-series
- basic hypergeometric distributions
- birth-death process
- hesitant random walk