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

DOI10.15559/23-vmsta225zbMath1517.62072OpenAlexW4327653232MaRDI QIDQ6166249

Oleksandr Dykyi, Alexander V. Ivanov

Publication date: 2 August 2023

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15559/23-vmsta225

zbMATH Keywords

strong consistencymultivariate trigonometric modelhomogeneous and isotropic strongly dependent Gaussian random fieldleast squares estimate in the Walker-Brillinger sense

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Random fields; image analysis (62M40) Linear inference, regression (62J99) General nonlinear regression (62J02)

Cites Work

• Consistency of the least squares estimators of parameters in the texture surface sinusoidal model
• On the least squares estimator asymptotic normality of the multivariate symmetric textured surface parameters
• The asymptotic normality for the least squares estimator of parameters in a two dimensional sinusoidal model of observations
• On the estimation of a harmonic component in a time series with stationary dependent residuals
• Estimation of harmonic component in regression with cyclically dependent errors
• Consistency of the least squares estimator of the amplitudes and angular frequencies of a sum of harmonic oscillations in models with long-range dependence
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