The almost sure behavior of the oscillation modulus of the multivariate empirical process
type: Item
instance of: scholarly article
title: The almost sure behavior of the oscillation modulus of the multivariate empirical process
zbMATH Open document ID: 0644.62058
DOI: 10.1016/0167-7152(87)90079-4
author: John H. J. Einmahl
author: Frits Ruymgaart
published in: Statistics \& Probability Letters
publication date: 1987-01-01T00:00:00Z
review text: The paper contains several almost sure convergence results for the oscillation modulus of multivariate empirical processes, depending on the rate at which the bandwidths tend to zero. The method of proof follows classical lines: Poissonization, application of maximal (exponential) inequalities, subsequences, Borel-Cantelli.
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 62G99
zbMATH DE Number: 4050782
zbMATH Keywords: density estimation
zbMATH Keywords: multivariate spacings
zbMATH Keywords: almost sure convergence results
zbMATH Keywords: oscillation modulus of multivariate empirical processes
reviewed by: Winfried Stute
MaRDI profile type: Publication
full work available at URL: 0167-7152(87)90079-4
OpenAlex ID: W1963690277
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description: scientific article; zbMATH DE number 4050782