ON ALMOST SURE CONVERGENCE OF CONDITIONAL EMPIRICAL DISTRIBUTION FUNCTIONS

作者: Winfried Stute

DOI: 10.1214/AOP/1176992445

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摘要: On etudie la convergence presque sure d'une distribution empirique conditionnelle de type noyau, a fois en norme-sup et ponderee

参考文章(17)
P. Gaenssler, W. Stute, On uniform convergence of measures with applications to uniform convergence of empirical distributions Empirical Distributions and Processes. pp. 45- 56 ,(1976) , 10.1007/BFB0096878
Antoni Zygmund, Richard L. Wheeden, Measure and integral ,(1977)
E. A. Nadaraya, On Estimating Regression Theory of Probability and Its Applications. ,vol. 9, pp. 141- 142 ,(1964) , 10.1137/1109020
Patrick Billingsley, Flemming Tops�e, Uniformity in weak convergence Probability Theory and Related Fields. ,vol. 7, pp. 1- 16 ,(1967) , 10.1007/BF00532093
Winfried Stute, The Oscillation Behavior of Empirical Processes Annals of Probability. ,vol. 10, pp. 86- 107 ,(1982) , 10.1214/AOP/1176993915
Wlodzimierz Greblicki, Adam Krzyzak, Miroslaw Pawlak, Distribution-Free Pointwise Consistency of Kernel Regression Estimate Annals of Statistics. ,vol. 12, pp. 1570- 1575 ,(1984) , 10.1214/AOS/1176346815
Jon A. Wellner, Limit theorems for the ratio of the empirical distribution function to the true distribution function Probability Theory and Related Fields. ,vol. 45, pp. 73- 88 ,(1978) , 10.1007/BF00635964
A. Dvoretzky, J. Kiefer, J. Wolfowitz, Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator Annals of Mathematical Statistics. ,vol. 27, pp. 642- 669 ,(1956) , 10.1214/AOMS/1177728174
É A. Nadaraya, Remarks on Non-Parametric Estimates for Density Functions and Regression Curves Theory of Probability & Its Applications. ,vol. 15, pp. 134- 137 ,(1970) , 10.1137/1115015