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The Mackenhoupt condition and an estimating problem

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Publication:292331
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DOI10.1007/s10958-016-2797-yzbMath1348.60057OpenAlexW2321672054MaRDI QIDQ292331

Valentin Solev

Publication date: 8 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2797-y


zbMATH Keywords

estimationGaussian processesHilbert transformMuckenhoupt conditionstationary increments


Mathematics Subject Classification ID

Gaussian processes (60G15) Nonparametric estimation (62G05) Stationary stochastic processes (60G10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)


Related Items

Estimation of a vector-valued function in a stationary Gaussian noise



Cites Work

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  • Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem
  • The accuracy of the method of least squares
  • Prediction problems and the Hunt-Muckenhoupt-Wheeden condition.
  • The minimax estimator of the pseudo-periodic function observed in the stationary noise
  • On the Problem of the Equivalence of Probability Measures Corresponding to Stationary Gaussian Processes
  • Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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