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部分线性变系数模型Backfitting估计的渐近性质
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O212.1[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]中央民族大学理学院统计学系, [2]中国人民大学统计学院 北京
  • 相关基金：国家自然科学基金(10431010);; 国家社会科学基金(07CTJ003)
作者： 魏传华[1], 吴喜之[2]
关键词： 部分线性变系数模型, Backfitting估计, 光滑不足, 渐近正态性, asymptotic normality, Backfitting estimation, partially linear varying coefficient model, undersmooth
中文摘要：

作为部分线性模型与变系数模型的推广,部分线性变系数模型是一类应用广泛的数据分析模型.利用Backfitting方法拟合这类特殊的可加模型,可得到模型中常值系数估计量的精确解析表达式,该估计量被证明是n~(1/2)相合的.最后通过数值模拟考察了所提估计方法的有效性.

英文摘要：

Partially linear varying coefficient model is a generalization of partially linear model and varying coefficient model and is frequently used in statistical modeling.This paper proposes Back- fitting procedure for fitting this special additive model,by which an explicit expression for estimators of constant coefficients in the model can be obtained.It is showed that the estimators are root-n consistent.Finally,some simulations are conducted to examine the performance of the procedure in the paper and the re...

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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669