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Asymptotic properties of correlational estimates in the functional spaces. I

A bound is constructed for the correlation function of a uniform Gaussian random field in the scheme of series with respect to the many samples. Exact properties are established for the bound. It is proved that it is strongly consistent and asymptotically normal in the Hilbert space of functions whi...

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Bibliographic Details
Date:	2025
Main Authors:	Buldygin , V. V., Zayats , V. V., Булдыгин , В. В., Заяц , В. В.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9354
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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