多维对称织构面参数LSE的一致性

IF 0.7 Q3 STATISTICS & PROBABILITY Modern Stochastics-Theory and Applications Pub Date : 2023-01-01 DOI:10.15559/23-vmsta225

O. Dykyi, Alexander Ivanov

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引用次数: 1

摘要

考虑了多元三角回归模型。本文在假设随机噪声是齐次或齐次各向同性高斯，即强依赖于${\mathbb{R}^{M}}，M\ge 3$的随机场的条件下，得到了这种多元模型的振幅和角频率的最小二乘估计量的强相合性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Consistency of LSE for the many-dimensional symmetric textured surface parameters

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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