【摘要】 本文分别给出了条件p-分位数和条件密度函数的近邻估计。并在一定的条件下证明了这些估计满足渐近正态性。本文还给出了定理的若干应用。更多还原

【Abstract】 The important work about nonparametric regression functions by Stone[1] attracted attention of statisticians. However, it is known that the conditional expection is not robust. Hence, we considered the conditional p-quatilc ξp,x as estimate. In this paper,we prove the asymptotic normality of Nearest Neighbor (NN)estimatcs of ξp,x.The case discussed by Zhen Zhongguo[2] is a special one considered here. We have also proved asymptotic normality of NN-estimates of the conditional density.更多还原