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A note on random walks. II

Published online by Cambridge University Press:  14 July 2016

T. P. Speed
T. P. Speed*
Affiliation:
University of Sheffield
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Abstract

The various duality results existing for two-barrier random walks are unified. Particular cases in the literature involving reflecting and reversing are deduced as corollaries.

Keywords

RANDOM WALKDUALITYREVERSINGREFLECTINGLADDER INDICES
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 1 , March 1973 , pp. 218 - 222
Copyright
Copyright © Applied Probability Trust 1973 

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References

[1] Doob, J. L. (1953) Stochastic Processes. John Wiley, New York.Google Scholar
[2] Feller, W. (1966) An Introduction to Probability Theory and its Applications Vol. II. John Wiley, New York.Google Scholar
[3] Keilson, J. (1965) Green's Function Methods in Probability Theory. Griffin, London.Google Scholar
[4] Loynes, R. M. (1962) The stability of a queue with non-independent interarrival and service times. Proc. Camb. Phil. Soc. 58, 497–520.CrossRefGoogle Scholar
[5] Nelson, E. (1958) The adjoint Markoff process. Duke Math. J. 25, 671–690.Google Scholar
[6] Phatarfod, R. M., Speed, T. P. and Walker, A. M. (1971) A note on random walks. J. Appl. Prob. 8, 198–201.Google Scholar
[7] Prabhu, N. U. (1965) Queues and Inventories. John Wiley, New York.Google Scholar