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混合误差下半变系数模型估计的相合性
引用本文:吴明华.混合误差下半变系数模型估计的相合性[J].佳木斯大学学报,2008,26(6).
作者姓名:吴明华
作者单位:合肥工业大学数学系,安徽合肥230009
摘    要:讨论了误差序列{εi,1≤i≤n}是α-混合条件下的变系数模型.利用局部多项式方法给出变系数模型系数函数的估计,并在此基础上讨论了系数函数估计的相合性问题,最终证明了该模型系数函数估计是弱相和合的.

关 键 词:半变系数模型  α混合  局部多项估计  弱相合

Estimation Consistency of Semi-varying-coefficient Models under Mix-error Condition
WU Ming-hua.Estimation Consistency of Semi-varying-coefficient Models under Mix-error Condition[J].Journal of Jiamusi University(Natural Science Edition),2008,26(6).
Authors:WU Ming-hua
Institution:Mathematics Department;Hefei University of Technology;Hefei 230009;China
Abstract:In this article,semi-varying-coefficient models whose error sequence is mixing are discussed.Giving the estimation of coefficient functions of semi-varying-coefficient models by Local Polyomial method.The estimation consistency of the coefficient functions is studied.It is proved that the estimation of the coefficient functions of this model are weak consistency.
Keywords:semi-varying-coefficient models  mixing  local linear method  weak consistency  
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