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Some ratio identities for a class of skip free random walks
P. A. Pegg
Journal:

Journal of Applied Probability / Volume 10 / Issue 1 / March 1973

Published online by Cambridge University Press:

14 July 2016, pp. 213-217

Print publication:

March 1973
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We prove a ratio identity giving a transform of the distribution of the position of a two barrier random walk as a ratio of the equivalent transforms for the one barrier random walk. This ratio identity holds for skip free random walks where the increments are dependent on both the previous increment and also the position of the random walk.

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Some ratio identities for a class of skip free random walks