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On Two-Periodic Random Walks with Boundaries

Böhm, Walter and Hornik, Kurt (2008) On Two-Periodic Random Walks with Boundaries. Research Report Series / Department of Statistics and Mathematics, 75. Department of Statistics and Mathematics, WU Vienna University of Economics and Business, Vienna.

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Abstract

Two-periodic random walks are models for the one-dimensional motion of particles in which the jump probabilities depend on the parity of the currently occupied state. Such processes have interesting applications, for instance in chemical physics where they arise as embedded random walk of a special queueing problem. In this paper we discuss in some detail first passage time problems of two-periodic walks, the distribution of their maximum and the transition functions when the motion of the particle is restricted by one or two absorbing boundaries. As particular applications we show how our results can be used to derive the distribution of the busy period of a chemical queue and give an analysis of a somewhat weird coin tossing game.

Item Type: Paper
Keywords: random walk / chemical queue / absorbing boundaries
Classification Codes: MSC 60G50, 60K25
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 13 Nov 2008 16:35
Last Modified: 05 Mar 2017 11:19
URI: http://epub.wu.ac.at/id/eprint/936

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