A bernoulli excursion and its various applications
- 1 September 1991
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 23 (3) , 557-585
- https://doi.org/10.2307/1427622
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
This publication has 1 reference indexed in Scilit:
- A proof of the generalized second-limit theorem in the theory of probabilityTransactions of the American Mathematical Society, 1931