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南京师范大学学报(自然科学版) 2015
非参数回归函数最大值点的BRPA估计的强相合性(英文)Keywords: BRPA估计, 非参数回归, 次序统计量, 强相合性BRPA estimator, nonparametric regression, order statistics, strong consistency Abstract: 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
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