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Details for article 16 of 21 found articles
| Title: |
On the Distributions of Absorbed Particles in Crossing a Field Containing Absorption Points |
| Author: |
Charalambides, Charalambos A. |
| Appeared in: |
Fundamenta informaticae |
| Paging: | Volume 117 (2012) nr. 1-4 pages 147-154 |
| Year: |
2012-06-08 |
| Contents: |
Consider a queue of particles that are required to cross a field containing a random number of absorption points (traps) acting independently. Suppose that if a particle clashes with (contacts) any of the absorption points, it is absorbed (trapped) with probability p and non absorbed with probability q = 1 − p. Let Xn be the number of absorbed particles from a queue of n particles and Tk the number of particles required to cross the field until the absorption of k particles. Assuming that the number Y of absorption points in the field obeys a q-Poisson distribution (Heine or Euler distribution), the distributions of Xn and Tk are obtained as q-binomial and q-Pascal distributions, respectively. Inversely, assuming that Xn obeys a q-binomial distribution (or, equivalently, assuming that Tk obeys a q-Pascal distribution), the distribution of Y is obtained as a q-Poisson distribution (Heine or Euler distribution). |
| Publisher: |
IOS Press |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 16 of 21 found articles
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