Asymptotic behavior and the moderate deviation principle for the maximum of a Dyck path |
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| Authors: | Termeh Kousha |
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| Institution: | School of Mathematics and Statistics, University of Ottawa, 585 King Edward Ottawa, ON K1N 6N5, Canada |
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| Abstract: | In this work, we obtain a large and moderate deviation principle for the law of the maximum of a random Dyck path. Our result extends the results of Chung (1976), Kennedy (1976) and Khorunzhiy and Marckert (2009). |
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| Keywords: | Dyck paths Catalan number Moderate deviation principle Brownian excursion |
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