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A bernoulli excursion and its various applications

Published online by Cambridge University Press:  01 July 2016

Lajos Takács
Lajos Takács*
Affiliation:
Case Western Reserve University
*
∗Postal address: 2410 Newbury Drive, Cleveland Heights, OH 44118, USA.
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Abstract

This paper is concerned with a random walk process in which and for i = 1, 2, ···, 2n. This process is called a Bernoulli excursion. The main object is to find the distribution, the moments, and the asymptotic distribution of the random variable ω n defined by . The results derived have various applications in the theory of probability, including random graphs, tournaments and order statistics.

Keywords

BROWNIAN EXCURSIONRANDOM GRAPHSORDER STATISTICSTOURNAMENTS
Type
Research Article
Information
Advances in Applied Probability , Volume 23 , Issue 3 , September 1991 , pp. 557 - 585
Copyright
Copyright © Applied Probability Trust 1991 

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