Consistency of the least squares estimators of parameters in the texture surface sinusoidal model

DOI10.1090/tpms/1049zbMath1412.62126OpenAlexW2917310610WikidataQ128311447 ScholiaQ128311447MaRDI QIDQ3120618

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Publication date: 5 March 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1049

zbMATH Keywords

consistencyleast squares estimatorregression functionisotropic and homogeneous random fieldtexture surface sinusoidal model of observations

Mathematics Subject Classification ID

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

Related Items (4)

Consistency of LSE for the many-dimensional symmetric textured surface parameters ⋮ The asymptotic normality for the least squares estimator of parameters in a two dimensional sinusoidal model of observations ⋮ Asymptotic properties of periodogram estimators in the trigonometric model for observations on the plane ⋮ On the least squares estimator asymptotic normality of the multivariate symmetric textured surface parameters

Cites Work

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• Asymptotic properties of the least squares estimates of 2-\(D\) exponential signals
• Noise space decomposition method for two-dimensional sinusoidal model
• Estimation of Hidden Frequencies for 2D Stationary Processes
• A unified texture model based on a 2-D Wold-like decomposition
• Determination of Discrete Spectrum in a Random Field
• 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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