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Central limit theorem for nonlinear transforms of gaussian random vector fields

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Abstract

We prove a central limit theorem for integral functionals of nonlinear transforms of homogeneous, isotropic Gaussian random vector fields.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1057–1063, August, 1990.

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Leonenko, N.N., Parkhomenko, V.N. Central limit theorem for nonlinear transforms of gaussian random vector fields. Ukr Math J 42, 942–947 (1990). https://doi.org/10.1007/BF01099225

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  • DOI: https://doi.org/10.1007/BF01099225

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