Remarks on Non-Parametric Estimates for Density Functions and Regression Curves

Previous article Next article Remarks on Non-Parametric Estimates for Density Functions and Regression CurvesÉ A. NadarayaÉ A. Nadarayahttps://doi.org/10.1137/1115015PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 G. M. Manija, Remarks on non-parametric estimates of a two-dimensional density function, Soobšč. Akad. Nauk Gruzin. SSR, 27 (1961), 385–390, (In Russian.) MR0143303 Google Scholar2 É. A. Nadaraya, Estimation of density functions of two-dimensional distributions, Soobshch. Akad. Nauk Gruzin SSR, 36 (1964), 267–268, (In Russian.) Google Scholar3 É. A. Nadaraya, On estimating regression, Theory Prob. Applications, 9 (1964), 141–142 10.1137/1109020 LinkGoogle Scholar4 E. Hobson, The Theory of Functions of a Real Variable and the Theory of Fourier Series, Vol. 1, Cambridge, 1927 Google Scholar5 N. V. Smirnov, Approximate laws of distribution of random variables from empirical data, Uspehi Matem. Nauk, 10 (1944), 179–206, (In Russian.) MR0012387 Google Scholar6 J. Kiefer and , J. Wolfowitz, On the deviations of the empiric distribution function of vector chance variables, Trans. Amer. Math. Soc., 87 (1958), 173–186 MR0099075 0088.11305 CrossrefGoogle Scholar7 É. A. Nadaraya, On nonparametric estimates of density functions and regression curves, Theory Prob. Applications, 10 (1965), 186–190 10.1137/1110024 0134.36302 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Universal Local Linear Kernel Estimators in Nonparametric RegressionMathematics, Vol. 10, No. 15 | 29 July 2022 Cross Ref Consistency properties for the wavelet estimator in nonparametric regression model with dependent errorsJournal of Inequalities and Applications, Vol. 2021, No. 1 | 3 September 2021 Cross Ref Nonparametric estimation of infinite order regression and its application to the risk-return tradeoffJournal of Econometrics, Vol. 219, No. 2 | 1 Dec 2020 Cross Ref A simple approach to construct confidence bands for a regression function with incomplete dataAStA Advances in Statistical Analysis, Vol. 104, No. 1 | 7 February 2019 Cross Ref Nonparametric quantile estimation using surrogate models and importance samplingMetrika, Vol. 83, No. 2 | 7 August 2019 Cross Ref Estimation of extreme quantiles in a simulation modelJournal of Nonparametric Statistics, Vol. 31, No. 2 | 22 January 2019 Cross Ref On estimation of surrogate models for multivariate computer experimentsAnnals of the Institute of Statistical Mathematics, Vol. 71, No. 1 | 2 November 2017 Cross Ref Nonparametric quantile estimation using importance samplingAnnals of the Institute of Statistical Mathematics, Vol. 70, No. 2 | 19 January 2017 Cross Ref ReferencesKernel Smoothing: Principles, Methods and Applications | 8 December 2017 Cross Ref Nonparametric estimation of a function from noiseless observations at random pointsJournal of Multivariate Analysis, Vol. 160 | 1 Aug 2017 Cross Ref Non parametric regression estimations over L p risk based on biased dataCommunications in Statistics - 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