Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization

DOI10.1080/02331888.2014.946929zbMath1367.62128OpenAlexW2067953757MaRDI QIDQ5263980

Nguyen Dang Minh, To Duc Khanh, Nguyen Huy Tuan, Dang Duc Trong

Publication date: 20 July 2015

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2014.946929

zbMATH Keywords

ill-posed problemnonparametric regressionstatistical inverse problemsmodified Helmholtz equationasymptotic confidence interval

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Related Items (4)

Regularizing a final value problem for nonlinear modified Helmholtz equation with randomly perturbed data ⋮ On a backward problem for multidimensional Ginzburg–Landau equation with random data ⋮ Approximate Solutions of Inverse Problems for Nonlinear Space Fractional Diffusion Equations with Randomly Perturbed Data ⋮ A two-dimensional sideways problem with random discrete data

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