The convergence to zero of Gaussian sequences

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1977 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 21, pages 296-300 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Buldygin, V. V.; Douchenko, V. S.;

doi: 10.1007/bf01787654

The convergence to zero of Gaussian sequences

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Abstract

Conditions for Gaussian sequences to converge to zero with unit probability are examined. A comparison theorem is proved, on the basis of which sufficient conditions are derived for the convergence to zero of Gaussian sequences, including, in particular, the previously known ones.

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Keywords

Convergence of Gaussian Sequences, Strong limit theorems, Gaussian processes, Gaussian Sequences, Comparison Theorem

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