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资产方程中回归函数的局部线性加权估计

于卓熙,王德辉   

  1. 吉林大学数学学院,长春130012
  • 收稿日期:2005-01-04 修回日期:1900-01-01 出版日期:2005-09-26 发布日期:2005-09-26
  • 通讯作者: 王德辉

The Weighted Local Linear Estimator of the Regression Function in the Assets Equation

YU Zhuo-xi,WANG De-hui   

  1. College of Mathematics,Jilin University,Changchun 130012,China
  • Received:2005-01-04 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
  • Contact: WANG De-hui

摘要: 通过将标的资产价格所满足的积分方程转化为回归模型,建立了回归模型中回归函数的局部线性加权估计.利用回归函数的估计构造漂移系数的样本估计量,并证明了所构造样本估计量的均方收敛性.从而使利用样本估计量构造漂移系数的估计成为可能.

关键词: 漂移系数, 回归模型, 局部线性加权估计, 样本估计量

Abstract: The present paper shows that the integral equation with which the price of underlying assets meets can be written as a regression model,on the basis of the weighted local linear estimator of the regression function is established in the regression model.The estimator of the sample of the drift coefficient depending on the adapatation of the estimator of the regression function is also constructed.The average squared convergence property of the estimator of the sample is also proved so as to make it possible that we can use the estimator of the sample to construct the estimator of the drift coefficient.

Key words: drift coefficient, regression model, weighted local linear estimator, estimator of sample

中图分类号: 

  • O211.64