Asymptotic normality of spherical means of nonlinear functionals of Gaussian random fields |
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Authors: | I I Deriev |
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Institution: | (1) Kiev University, USSR |
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Abstract: | The central limit theorem is proved for the integral-type functionals of nonlinear transformations of two-and three-dimensional uniform isotropic Gaussian random fields. A theorem on convergence of finite-dimensional distributions of these functionals to the corresponding distributions of the Wiener process is also established.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 472–480, April, 1993. |
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