ZHAO Lincheng, DIAO Guoqing. Strong Convergence of Modified PartitioningEstimates of Nonparametric Regression Functions[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(2): 192-196.
Citation:
ZHAO Lincheng, DIAO Guoqing. Strong Convergence of Modified PartitioningEstimates of Nonparametric Regression Functions[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(2): 192-196.
ZHAO Lincheng, DIAO Guoqing. Strong Convergence of Modified PartitioningEstimates of Nonparametric Regression Functions[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(2): 192-196.
Citation:
ZHAO Lincheng, DIAO Guoqing. Strong Convergence of Modified PartitioningEstimates of Nonparametric Regression Functions[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(2): 192-196.
Strong Convergence of Modified PartitioningEstimates of Nonparametric Regression Functions
Let (X,Y),(X1,Y1),…,(Xn,Yn) be i.i.d. random vectors taking values inRd×R withE(|Y|) ＜∞. Let mn(x) be the partitioning estimate of the regression function m（x）=E(Y|X=x), In this paper, the strongconvetgence of modified partitioning estimate \widehatm_n（x） is shown.
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