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

Published 3 Aug 2010 in math.PR | (1008.0606v3)

Abstract: 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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