2017
Том 69
№ 9

All Issues

On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields

Krasnitskii S. M.

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Abstract

We give necessary conditions of equivalence of probability measures corresponding to generalized homogenous Gaussian fields. For the most part, the results are also new for standard homogenous fields and even in the one-dimensional case, i.e., for stationary processes.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 6, pp 765-778.

Citation Example: Krasnitskii S. M. On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 708–719.

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