First Hitting Place Probabilities for a Discrete Version of the Ornstein-Uhlenbeck Process

A Markov chain with state space {0,…,N} and transition probabilities depending on the current state is studied. The chain can be considered as a discrete Ornstein-Uhlenbeck process. The probability that the process hits N before 0 is computed explicitly. Similarly, the probability that the process h...

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Bibliographic Details
Main Authors: Mario Lefebvre, Jean-Luc Guilbault
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/909835
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