The asymptotic normality for the least squares estimator of parameters in a two dimensional sinusoidal model of observations

DOI10.1090/tpms/1100zbMath1446.62354OpenAlexW3047075276MaRDI QIDQ5117965

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Publication date: 26 August 2020

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

Full work available at URL: https://doi.org/10.1090/tpms/1100

zbMATH Keywords

asymptotic normalityleast squares estimatorreduction theoremBrouwer's fixed-point theoremasymptotic uniquenesshomogeneous and isotropic Gaussian random field\( \mu \)-admissibilityspectral measure of the regression functiontwo-dimensional sinusoidal model

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Functional data analysis (62R10) Inference from stochastic processes and spectral analysis (62M15) General nonlinear regression (62J02)

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Cites Work

• On the rate of convergence to Rosenblatt-type distribution
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• 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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