Geodesic
Some Results in a Correlated Random Walk
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 341-347

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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. 
Jain, G. C. Some Results in a Correlated Random Walk. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 341-347. doi: 10.4153/CMB-1971-062-x
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     author = {Jain, G. C.},
     title = {Some {Results} in a {Correlated} {Random} {Walk}},
     journal = {Canadian mathematical bulletin},
     pages = {341--347},
     year = {1971},
     volume = {14},
     number = {3},
     doi = {10.4153/CMB-1971-062-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-062-x/}
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