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

DOI10.1016/j.spl.2011.10.015zbMath1241.60013arXiv1008.0606OpenAlexW2073798400MaRDI QIDQ419239

Termeh Kousha

Publication date: 18 May 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0606

zbMATH Keywords

Catalan numberBrownian excursionDyck pathsmoderate deviation principle

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (1)

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Cites Work

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• Uniform bounds for exponential moment of maximum of a Dyck path
• An invariance principle for random walk conditioned by a late return to zero
• Excursions in Brownian motion
• Maxima in Brownian excursions
• The distribution of the maximum Brownian excursion

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