This article is cited in 45 papers

Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields

V. F. Gapoškin

Moscow

Abstract: For some classes of stationary (in the wide sense) processes and homogeneous fields, criteria of the strong law of large numbers are obtained in terms of the spectral measure or the correlation function of these processes. Some estimates of the speed of convergence are also proved.

Received: 17.02.1975

 English version: Theory of Probability and its Applications, 1978, 22:2, 286–310

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