Asymptotic normality of spherical means of nonlinear functionals of Gaussian random fields

• Дата: 1993
• Автори: Deriev, I. I., Дериев, И. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1993
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5834
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...