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Approximation of the distribution of the supremum of a centered random walk. Application to the local score

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Publication:596509
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DOI10.1023/B:MCAP.0000026559.87023.eczbMath1045.60021MaRDI QIDQ596509

Pierre Vallois, Marie-Pierre Étienne

Publication date: 10 August 2004

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)


zbMATH Keywords

random walkmaximumlocal scoreSkorokhod's embedding


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Stopping times; optimal stopping problems; gambling theory (60G40) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)


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On the rate of approximation in finite-alphabet longest increasing subsequence problems ⋮ Three‐wise independent random walks can be slightly unbounded ⋮ Unnamed Item ⋮ Elements related to the largest complete excursion of a reflected BM stopped at a fixed time. Application to local score



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