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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.
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Lajos Takács (1991) studied this question.
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