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Distribution of crossings in restricted paths. (English) Zbl 0254.60044


MSC:

60G50 Sums of independent random variables; random walks
Full Text: DOI

References:

[1] E. Csáki, On the number of intersections in the one-dimensional random walk.Publ. Math. Inst. Hung. Acad. Sci.,6, (1961), pp. 281–286.
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[3] E. Csáki andI. Vincze, Two joint distribution laws in the theory of order statistics.Mathematica (Cluj),5, (1963) pp. 27–37.
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[10] G. C. Jain, On cumulative sums in one-dimensional symmetric random walk. Jour. Ind. Statist. Assoc.,4, (1966), pp. 73–85.
[11] G. C. Jain, Joint distribution of intersections, ({\(\pm\)}) waves and ({\(\pm\)}) steps–I.Proc. Nat. Inst. Sci. India,32, (1967), pp. 460–471. · Zbl 0155.23301
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[13] J. H. B. Kemperman, The passage problem for a stationary Markov chain. University of Chicago press (1961).
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