On the increments of partial sum processes with multidimensional indices

DOI10.1007/BF00534177zbMath0511.60027MaRDI QIDQ4748903

Josef G. Steinebach

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

increments of partial sumsmultidimensional indicesErdős-Renyi law of large numbersd-parameter Brownian motion

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Sample path properties (60G17)

Related Items (6)

Limsup results and LIL for finite dimensional Gaussian random fields ⋮ Limsup results and LIL for partial sum processes of a Gaussian random field ⋮ SOME LIMIT THEOREMS ON THE INCREMENTS OF A MULTI-PARAMETER FRACTIONAL BROWNIAN MOTION ⋮ On the Erdös-Rényi theorem for random fields and sequences and its relationships with the theory of runs and spacings ⋮ Asymptotic behavior of increments of random fields ⋮ Shao's theorem on the maximum of standardized random walk increments for multidimensional arrays

Cites Work

• Improved Erdoes-Renyi and strong approximation laws for increments of partial sums
• A theorem about probabilities of large deviations with an application to queuing theory
• On a new law of large numbers
• How big are the increments of a multi-parameter Wiener process?
• [https://portal.mardi4nfdi.de/wiki/Publication:4150921 On large intervals in the Cs�rg?-R�v�sz theorem on increments of a Wiener process]
• Large Deviation Probabilities and the Erdös-Rényi Law of Large Numbers
• Strassen type limit points for moving averages of a wiener process
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