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

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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 SectionsAbout[1] 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 Scholar[2] É. A. Nadaraya, Estimation of density functions of two-dimensional distributions, Soobshch. Akad. Nauk Gruzin SSR, 36 (1964), 267–268, (In Russian.) Google Scholar[3] É. A. Nadaraya, On estimating regression, Theory Prob. Applications, 9 (1964), 141–142 10.1137/1109020 LinkGoogle Scholar[4] E. Hobson, The Theory of Functions of a Real Variable and the Theory of Fourier Series, Vol. 1, Cambridge, 1927 Google Scholar[5] N. V. Smirnov, Approximate laws of distribution of random variables from empirical data, Uspehi Matem. Nauk, 10 (1944), 179–206, (In Russian.) MR0012387 Google Scholar[6] 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 Scholar[7] 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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