An Empirical Process Approach to the Uniform Consistency of Kernel-Type Function Estimators
作者： Uwe Einmahl , David M. Mason
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摘要: We use general empirical process methods to determine under mild regularity conditions exact rates of uniform strong consistency kernel-type function estimators. In the a useful new bound on expectation supremum is obtained
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sci-hub.se 参考文章(22)
Uwe Einmahl, David M. Mason, Strong Approximations to the Local Empirical Process Birkhäuser, Basel. pp. 75- 92 ,(1998) , 10.1007/978-3-0348-8829-5_5
J. Kuelbs, Probability on Banach spaces M. Dekker. ,(1978)
E. A. Nadaraya, On Estimating Regression Theory of Probability and Its Applications. ,vol. 9, pp. 141- 142 ,(1964) , 10.1137/1109020
Michel Ledoux, On Talagrand's deviation inequalities for product measures Esaim: Probability and Statistics. ,vol. 1, pp. 63- 87 ,(1997) , 10.1051/PS:1997103
Peter Gaenssler, Winfried Stute, Conditional empirical processes Annals of Statistics. ,vol. 14, pp. 638- 647 ,(1986) , 10.1007/978-3-0348-6269-1_4
Uwe Einmahl, David M. Mason, Gaussian approximation of local empirical processes indexed by functions Probability Theory and Related Fields. ,vol. 107, pp. 283- 311 ,(1997) , 10.1007/S004400050086
Uwe Einmahl, Toward a General Law of the Iterated Logarithm in Banach Space Annals of Probability. ,vol. 21, pp. 2012- 2045 ,(1993) , 10.1214/AOP/1176989009
Yuan Shih Chow, Henry Teicher, Probability theory: Independence, interchangeability, martingales ,(1978)
Winfried Stute, ON ALMOST SURE CONVERGENCE OF CONDITIONAL EMPIRICAL DISTRIBUTION FUNCTIONS Annals of Probability. ,vol. 14, pp. 891- 901 ,(1986) , 10.1214/AOP/1176992445
David Pollard, Convergence of stochastic processes ,(1984)