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Success epochs in a sequence of Bernoulli trials

Published online by Cambridge University Press:  01 July 2016

Wim Vervaat
Wim Vervaat*
Affiliation:
Universiteit van Amsterdam
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Abstract

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Type
Second conference on stochastic processes and applications
Information
Advances in Applied Probability , Volume 5 , Issue 1 , April 1973 , pp. 35 - 36
Copyright
Copyright © Applied Probability Trust 1973 

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References

Iglehart, D. L. and Whitt, W. (1971) The equivalence of functional central limit theorems for counting processes and associated partial sums. Ann. Math. Statist. 42, 1372–1378.Google Scholar
Lindvall, T. (1972) Weak convergence of probability measures and random functions in the function space D[0, ∞). J. Appl. Prob. 10, 109–121.Google Scholar
Rényi, A. (1962) Théorie des éléments saillants d'une suite d'observations. Colloquium on Combinatorial Methods in Probability Theory. Mathematisk Institut, Aarhus Universitet, Denmark.Google Scholar
Stone, C. (1963) Weak convergence of stochastic processes defined on semi-infinite time intervals. Proc. Amer. Math. Soc. 14, 694–696.Google Scholar
Vervaat, W. (1972a) Success epochs in Bernoulli trials (with applications in number theory). Mathematical Centre Tract 42, Mathematisch Centrum, Amsterdam.Google Scholar
Vervaat, W. (1972b) Functional central limit theorems for processes with positive drift and their inverses. Z. Wahrscheinlichkeitsth. 23, 245–253.Google Scholar
Whitt, W. (1973) Continuity of several functions on the function space D. Annals of Probab. To appear.Google Scholar