HONG Shengyan. ASYMPTOTIC NORMALITY FOR NEAREST NEIGHBOR ESTIMATOR OF NONPARAMETRIC REGRESSION FUNCTION[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(2): 187-191.
Citation:
HONG Shengyan. ASYMPTOTIC NORMALITY FOR NEAREST NEIGHBOR ESTIMATOR OF NONPARAMETRIC REGRESSION FUNCTION[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(2): 187-191.
HONG Shengyan. ASYMPTOTIC NORMALITY FOR NEAREST NEIGHBOR ESTIMATOR OF NONPARAMETRIC REGRESSION FUNCTION[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(2): 187-191.
Citation:
HONG Shengyan. ASYMPTOTIC NORMALITY FOR NEAREST NEIGHBOR ESTIMATOR OF NONPARAMETRIC REGRESSION FUNCTION[J]. Chinese Journal of Applied Probability and Statistics, 1991, 7(2): 187-191.
ASYMPTOTIC NORMALITY FOR NEAREST NEIGHBOR ESTIMATOR OF NONPARAMETRIC REGRESSION FUNCTION
Let （X,Y）, （X1, Y1）,（X2, Y2）,… be a sequenoe of i. i. d. RdxR~1-valued random variables with E|Y|＜∞. This paper studies the asymptotic normality for nearest neighbor estimator of nonparametric regression function, i.e. under certain conditions \fracm_n(x)-m(x)\left(\sum_i=1^k \nu_n^2 \delta(x)\right)^1 / 2 \xrightarrow\mathscrL N(0,1).
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