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Some Results in a Correlated Random Walk

Published online by Cambridge University Press:  20 November 2018

G. C. Jain
G. C. Jain*
Affiliation:
University of Calgary, Calgary, Alberta
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In connection with a statistical problem concerning the Galtontest Cśaki and Vincze [1] gave for an equivalent Bernoullian symmetric random walk the joint distribution of g and k, denoting respectively the number of positive steps and the number of times the particle crosses the origin, given that it returns there on the last step.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 341 - 347
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Cśaki, E. and Vincze, I., On some problems connected with the Galton-test, Publ. Math. Inst., Hungarian Acad. Sc., 6 (1961), 97-109.Google Scholar
2. Goldstein, S., On diffusion by discontinuous movements and on the telegraph equation, Quart. J. Mech. Appl. Math., 4 (1951), 129-156.Google Scholar
3. Seth, A., The correlated unrestricted random walk, J. Roy. Statist. Soc. Ser. B, (2) 25 (1963), 394-400.Google Scholar