Some \(\liminf\) results for two-parameter processes

DOI10.1016/S0304-4149(98)00045-3zbMath0934.60068OpenAlexW1979758397MaRDI QIDQ1807269

Endre Csáki, Zhan Shi

Publication date: 18 November 1999

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(98)00045-3

zbMATH Keywords

Ornstein-Uhlenbeck processempirical processWiener sheetKiefer process

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15) Brownian motion (60J65)

Related Items (1)

Instants of small amplitude of Brownian motion and application to the Kubilius model

Cites Work

• A remark on the multiparameter law of the iterated logarithm
• Strong limit theorems
• Two different kinds of liminfs on the LIL for two-parameter Wiener processes
• Limit laws for local times of the Brownian sheet
• Brownian first exit from and sojourn over one sided moving boundary and application
• On the Law of the Iterated Logarithm in Chung’s Form for Functional Spaces
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• The law of the iterated logarithm for normalized empirical distribution function
• On the lower limits of maxima and minima of wiener process and partial sums
• On the Hausdorff dimension of the Brownian slow points
• A strong law for the maximum cumulative sum of independent random variables
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