We propose results of the investigation of the problem of the mean square optimal estimation of linear functionals which depend on the unknown values of periodically correlated isotropic random fields. Estimates are based on observations of the fields with a noise. Formulas for computing the value of the mean-square errors and the spectral characteristics of the optimal linear estimates of functionals are derived in the case of spectral certainty, where the spectral densities of the fields are exactly known. Formulas that determine the least favorable spectral densities and the minimax-robust spectral characteristics of the optimal estimates of functionals are proposed in the case of spectral uncertainty, where the spectral densities are not exactly known while some sets of admissible spectral densities are specified. (Nova)
Iryna Golichenko & Oleksandr Masyutka
Estimates of Periodically Correlated Isotropic Random Fields [PDF ebook]
Estimates of Periodically Correlated Isotropic Random Fields [PDF ebook]
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định dạng PDF ● Trang 309 ● ISBN 9781536132458 ● Biên tập viên Iryna Golichenko & Oleksandr Masyutka ● Nhà xuất bản Nova Science Publishers, Inc. ● Được phát hành 2018 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 6890182 ● Sao chép bảo vệ Adobe DRM
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