Approximation of empirical fields, constructed with respect to vector observations with dependent components

DOI10.1007/BF00971279zbMath0524.60057OpenAlexW2080834747MaRDI QIDQ584834

I. S. Borisov

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/62209

zbMATH Keywords

inequalitiesempirical processdependent coordinatesmultiparameter Wiener process

Mathematics Subject Classification ID

Random fields (60G60) Stochastic approximation (62L20)

Related Items

Kac's representation from an asymptotic viewpoint, A note on strong approximations of multivariate empirical processes, Asymptotics of conditional empirical processes, Goodness-of-fit tests for the Cox model via bootstrap method, On the asymptotic distributions of weighted uniform mulitivariate empirical processes, Quantile process for left truncated and right censored data

Cites Work

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• Weak convergence of probabilities on nonseparable metric spaces and empirical measures on Euclidean spaces
• Almost sure approximation theorems for the multivariate empirical process
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• A new method to prove strassen type laws of invariance principle. II