On the sufficient equivalence conditions of gaussian measures corresponding to homogeneous fields whose spectral densities have real zeros |
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| Authors: | S. M. Krasnitskii S. L. Kryvyi |
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| Affiliation: | (1) State Academy of Light Industry, Kiev, Ukraine;(2) Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine |
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| Abstract: | The sufficient equivalence criteria of probability measures corresponding to Gaussian homogeneous random fields are given in terms of the spectral densities of the fields considered. These criteria are represented in a form taking into account the possibility of vanishing of the mentioned spectral densities. Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 37–48, November–December, 1999. |
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| Keywords: | homogeneous random fields spectral densities of fields Gaussian measures equivalence criteria of Gaussian measures |
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