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CONVERGENCE PROPERTIES OF MULTI-DIMENSIONAL NEAREST NEIGHBOR DENSITY ESTIMATES FOR THE CASE OF GENERAL KERNEL
N.N. estimate convergence rate bounded s
2007/8/7
In this paper we give weaker conditions to ensure the strong uniform consis-tency of multi-dimensional nearest neighbor (N.N.) estimates with non-uniform kernel and obtain the convergence rates of the...
CONSISTENCY FOR KERNEL ESTIMATE OF CONDITIONAL FUNCTION
onditional function kernel estimate im
2007/8/7
Let {(X_n, Y_n} be a -mixing sequence. On the basis of (X_1, Y_1 ),... ,(X_n, Y_n),E(β(Y)|X = x) is estimated by kernel estimators, approved kernel estimators and random window width estboators. Under...
A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
Regression function random window-width
2007/8/7
In this paper we study the estimation of the regression function. We establish a law ofthe iterated logarithm for the random window-width kernel estimator and, as an application, for a nearest neighbo...
Let (X,Y) be a pair of R~d×R~1-valued random variables. In thispaper we investigate the asymptotic properties of the L_1-norm kernel estimator of the conditional median function of Y on X. Under appro...