On Estimating a Function Given at Random Nodes by the Method of Least Squares
A.I. Koryakin, N. N. Chentsov · Theory of Probability and Its Applications · 1991
Previous article Next article On Estimating a Function Given at Random Nodes by the Method of Least SquaresA. I. Koryakin and N. N. ChentsovA. I. Koryakin and N. N. Chentsovhttps://doi.org/10.1137/1135114PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] K. I. Babenko, Theoretical Foundations and the Construction of Numerical Algorithms for Problems of Mathematical Physics, Nauka, Moscow, 1979, (In Russian.) Google Scholar[2] N. S. Bakhvalov, On optimal estimates of the rate of convergence of quadrature procedures and methods of integration of Monte-Carlo type on classes of functionsNumerical Methods for Solving Differential and Integral Equations and Quadrature Formulas, Nauka, Moscow, 1964, 5–63, (In Russian.) 0207.16103 Google Scholar[3] A. I. Koryakin, Randomized estimation of the Fourier coefficients of the expansion of a function in $L_{2}$, Soviet Math. Dokl., 21 (1980), 619–624 0458.42005 Google Scholar[4] A. I. Koryakin and , N. N. Chentsov, Estimation of Functions and Their Moments from Observations at Random Nodes, 1985, Preprint No. 33, Akad. Nauk SSSR, Inst. Prikl. Math. (In Russian.) Google Scholar[5] A. I. Koryakin and , N. N. Chentsov, Randomized estimator of the function and its moments whose controllable error is almost optimal on classes WρT, 1987, Preprint No. 81, Akad. Nauk SSSR, Inst. Prikl. Math. (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Memorial: Nikolai Nikolaevitch ChentsovN. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast’yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulevichius, R. Z. Khas’minskii, A. S. Kholevo, D. M. Chibisov, and A. N. Shiryaev17 July 2006 | Theory of Probability & Its Applications, Vol. 38, No. 3AbstractPDF (1706 KB) Volume 35, Issue 4| 1991Theory of Probability & Its Applications History Submitted:17 March 1988Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1135114Article page range:pp. 788-792ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics