非参数回归函数最大值点的BRPA估计的强相合性（英文）  

Strong Consistency of BRPA Estimators for Maximizer of Nonparametric Regression Function

作　　者：朱春华[1] 高启兵[2] 

机构地区：[1]南京审计学院数学与统计学院,江苏南京211815 [2]南京师范大学数学科学学院,江苏南京210023

出　　处：《南京师大学报（自然科学版）》2015年第4期57-60,共4页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by National Science Foundation of China(11271193);Humanities and Social Sciences Planning Foundation of Chinese Ministry of Education(11YJA910004);Natural Science Foundation of the Jiangsu Higher Education Institutions of China(13KJD110004);the Returned Overseas Fund of Nanjing Normal University(2014101XLH0194)

摘　　要：非参数函数的BRPA估计在实际中具有一定的应用价值.本文在一定条件下获得BRPA估计的强相合性,其推广现有文献的结果.本文结果通过蒙特卡洛方法验证.The best-r-point-average （BRPA）estimator of the maximizer of regression function has certain merits in application. The strong consistency of the BRPA estimator is obtained under the certain conditions which extends the existing results. The results are illustrated by Monte-Carlo simulations.

关 键 词：BRPA估计 非参数回归 次序统计量 强相合性 

分 类 号：O212.1[理学—概率论与数理统计]