Consider the family of persistent random walks in discrete time on the integers such that the random times separating consecutive changes of direction perform a discrete alternating renewal process. We obtain the explicit expression of the probability distribution of the walk, when the random times have geometric distribution and negative binomial distribution.
On negative binomial persistent random walks
DI CRESCENZO, Antonio;MARTINUCCI, BARBARA;
2006-01-01
Abstract
Consider the family of persistent random walks in discrete time on the integers such that the random times separating consecutive changes of direction perform a discrete alternating renewal process. We obtain the explicit expression of the probability distribution of the walk, when the random times have geometric distribution and negative binomial distribution.File in questo prodotto:
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