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鞅差序列下回归函数加权核估计的收敛性
引用本文:余未.鞅差序列下回归函数加权核估计的收敛性[J].宁波大学学报(理工版),2002,15(2):4-6.
作者姓名:余未
作者单位:宁波大学理学院,浙江宁波315211
摘    要:研究了在删失样本下误差为鞅差序列时 ,回归函数加权核估计的r阶矩收敛性 ,完全收敛性和几乎处处收敛性 ,推广了在完全样本下误差为鞅差序列时相应的结论 ,同时还给出了r(r >1)阶矩收敛的收敛速度

关 键 词:回归函数  加权核估计  删失样本  鞅差序列  r阶矩收敛性  完全收敛性  几乎处处收敛性
文章编号:1001-5132(2002)02-0004-03
修稿时间:2002年4月16日

Consistency of Weighted Kernel Estimator for Regression Function under Martingale Difference Error Sequences
YU Wei.Consistency of Weighted Kernel Estimator for Regression Function under Martingale Difference Error Sequences[J].Journal of Ningbo University(Natural Science and Engineering Edition),2002,15(2):4-6.
Authors:YU Wei
Abstract:The r order mean consistency, the complete convergence and strong consistency of the weighted kemel estimator for regression function, under martingale difference error sequences from censored data are studied. These conclusions generalize the results under the complete sample. The r order mean consistency rate of this estimator is also obtained.
Keywords:weighted kernel estimator  randomly censored data  martingale difference sequences  r    order mean consistency  complete convergence  strong consistency
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