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Pointwise and uniform asymptotics of the Vervaat error process

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Publication:1866068
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DOI10.1023/A:1020650502619zbMath1019.60027OpenAlexW97450143MaRDI QIDQ1866068

Zhan Shi, Endre Csáki, Ričardas Zitikis, Miklós Csörgő, Antónia Földes

Publication date: 3 April 2003

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020650502619


zbMATH Keywords

Wiener processconvergence in distributionlaw of the iterated logarithmBrownian bridgeempirical processstrong approximationquantile processKiefer processVervaat processBahadur-Kiefer processVervaat error process


Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)


Related Items

On Vervaat and Vervaat-error-type processes for partial sums and renewals ⋮ Weak convergence of Vervaat and Vervaat error processes of long-range dependent sequences ⋮ Strong invariance principles for sequential Bahadur-Kiefer and Vervaat error processes of long-range dependent sequences



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