This article is cited in 1 paper

The strong law of large numbers for homogeneous random fields

V. V. Yurinskii

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: We formulate, in terms of correlation functions, sufficient conditions for the applicability of the strong law of large numbers to random fields, homogeneous in the wide sense. We consider averages over spheres with center at the coordinate origin and also over rectangular parallelepipeds.

UDC: 519.2

Received: 19.01.1973

 English version: Mathematical Notes, 1974, 16:1, 668–673

Bibliographic databases:

• 
•