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The two-parameter Brownian bridge: Kolmogorov inequalities and upper and lower bounds for the distribution of the maximum

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Publication:789108
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DOI10.1214/aop/1176993858zbMath0532.60072OpenAlexW2079606077MaRDI QIDQ789108

Enrique M. Cabaña, Mario Wschebor

Publication date: 1982

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993858


zbMATH Keywords

numerical calculationsdistribution of the maximum, heat equationKolmogorov inequalitiestwo-parameter Brownian bridge


Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Brownian motion (60J65)


Related Items

Boundary crossings and the distribution function of the maximum of Brownian sheet. ⋮ The distribution of the maximum of particular random fields ⋮ Large deviations for the maxima of some random fields ⋮ Distribution of the supremum of the two-parameter Slepian process on the boundary of the unit square ⋮ A multiparameter stochastic integral and forward equations



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