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Correction to a Result of Jain on a Correlated Random Walk

Published online by Cambridge University Press:  20 November 2018

R. B. Nain  and
Kanwar Sen
R. B. Nain
Affiliation:
Department of Mathematical Statistics, University of Delhi, Delhi-110007, India
Kanwar Sen
Affiliation:
Department of Mathematical Statistics, University of Delhi, Delhi-110007, India
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Abstract

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The authors have found that the formula for U(t)— the probability generating function (p.g.f) of a return to the starting position, obtained by Jain [1, p. 344] is incorrect and have obtained its correct formulae.

Keywords

60J15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 4 , 01 December 1982 , pp. 498 - 499
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Jain, G. C., Some Results in a Correlated Random Walk, Canad. Math. Bull. 14 (1971), 341-347.Google Scholar
2. Nain, R. B. and Sen, Kanwar: Transition Probability Matrices for Correlated Random Walks, J. Appl. Prob. 17 (1980), 253-258.Google Scholar
3. Seth, A., The Correlated Unrestricted Random Walk, J. Roy. Stat. Soc. Ser. B 25 (1963), 394-400.Google Scholar