Asymptotic behavior and moderate deviation principle for the maximum of a Dyck path

Details Asymptotic behavior and moderate deviation principle for the maximum of a Dyck path Asymptotic behavior and moderate deviation principle for the maximum of a Dyck path

2010-08-03

arxiv.org/abs/1008.0606v3

Mathematics

Probability

13 pages

Scientific paper

In this paper, we obtain a large and moderate deviation principle for the law
of the maximum of a random Dyck path. Our result extend the results of Chung,
Kennedy, Kaigh and Khorunzhiy and Marckert.

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