Consistency of LSE for the many-dimensional symmetric textured surface parameters
Volume 10, Issue 3 (2023), pp. 267–285
Pub. online: 16 March 2023
Type: Research Article
Open Access
Open Access
Received
8 December 2022
8 December 2022
Revised
27 February 2023
27 February 2023
Accepted
2 March 2023
2 March 2023
Published
16 March 2023
16 March 2023
Abstract
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 ${\mathbb{R}^{M}},M\ge 3$.
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