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arxiv: 1008.0606 · v3 · pith:EMX5FHWLnew · submitted 2010-08-03 · 🧮 math.PR

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

classification 🧮 math.PR
keywords deviationdyckmaximummoderatepathprincipleasymptoticbehavior
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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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