工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2009年
2期
315-319
,共5页
变系数模型%半变系数模型%渐近正态性
變繫數模型%半變繫數模型%漸近正態性
변계수모형%반변계수모형%점근정태성
varying coefficient model%semivarying coefficient model%asymptotic normality
半变系数模型已经获得了广泛的研究和应用,近几年,人们提出许多方法来估计其函数系数和常系数.在PLS方法基础上,本文给出半变系数模型模型在线性随机约束条件下的估计,并证明了常系数和函数系数估计的渐近正态性.
半變繫數模型已經穫得瞭廣汎的研究和應用,近幾年,人們提齣許多方法來估計其函數繫數和常繫數.在PLS方法基礎上,本文給齣半變繫數模型模型在線性隨機約束條件下的估計,併證明瞭常繫數和函數繫數估計的漸近正態性.
반변계수모형이경획득료엄범적연구화응용,근궤년,인문제출허다방법래고계기함수계수화상계수.재PLS방법기출상,본문급출반변계수모형모형재선성수궤약속조건하적고계,병증명료상계수화함수계수고계적점근정태성.
Semivarying coefficient models have been discussed in many papers and applied widely in many fields. In recent years, many approaches are developed to estimate the unknown parameters and the coefficient functions. Based on the profile least squares method, the constrained profile least squares estimation on semivarying coefficient models under linear stochastic constraints is developed in this paper. Asymptotic normalities of the estimation on parametric component and nonparametric component are investigated.