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Analysis reveals strong consistency and asymptotic normality of periodogram estimates in isotropic models, suggesting reliable parameter estimation.
The simplest multivariate trigonometric model of symmetric textured surface is considered, that is observed on the background of homogeneous and isotropic Gaussian, in particular, strongly dependent random field on R M R^M , M ≥ 3 M≥ 3 . In the specified regression model strong consistency and asymptotic normality of periodogram estimates of amplitude and angular frequencies are proved.
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Ivanov et al. (2025) studied this question.
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