The Correlated Random Walk with Boundaries. A Combinatorial Solution

Walter Böhm

Publication: Working/Discussion PaperWU Working Paper

75 Downloads (Pure)

Abstract

The transition fundions for the correlated random walk with two absorbing boundaries are derived by means of a combinatorial construction which is based on Krattenthaler's Theorem for counting lattice paths with turns. Results for walks with one boundary and for unrestricted walks are presented as special cases. Finally we give an asymptotic formula, which proves to be useful for computational purposes. (author's abstract)

Publication series

SeriesForschungsberichte / Institut für Statistik
Number67

WU Working Paper Series

  • Forschungsberichte / Institut für Statistik

Cite this