Consistency of LSE for the many-dimensional symmetric textured surface parameters
Open Access
- 16 March 2023
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 10 (3), 267-285
- https://doi.org/10.15559/23-vmsta225
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Consistency of LSE for the many-dimensional symmetric textured surface parameters, Authors: Oleksandr Dykyi, Alexander Ivanov , A multivariate trigonometric regression model is considered. In the paper strong consistency of the least squares estimator for amplitudes and angular frequencies is obtained for such a multivariate model on the assumption that the random noise is a homogeneous or homogeneous and isotropic Gaussian, specifically, strongly dependent random field on ${\mathbb{R}^{M}},M\ge 3$.
Keywords
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