Nonparametric estimation of additive nonlinear ARX time series: Local linear fitting and projections

被引:21
作者
Cai, ZW [1 ]
Masry, E
机构
[1] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA
[2] Univ Calif San Diego, La Jolla, CA 92093 USA
关键词
D O I
10.1017/S0266466600164011
中图分类号
F [经济];
学科分类号
02 ;
摘要
We consider the estimation and identification of the components (endogenous and exogenous) of additive nonlinear ARX time series models. We employ a local polynomial fitting scheme coupled with projections. We establish the weak consistency (with rates) and the asymptotic normality of the projection estimates of the additive components. Expressions for the asymptotic bias and variance are given.
引用
收藏
页码:465 / 501
页数:37
相关论文
共 31 条
[1]  
AUESTAD B, 1991, NATO ADV SCI I C-MAT, V335, P493
[2]  
CHEN R, 1993, J AM STAT ASSOC, V88, P310
[3]   ROBUST LOCALLY WEIGHTED REGRESSION AND SMOOTHING SCATTERPLOTS [J].
CLEVELAND, WS .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1979, 74 (368) :829-836
[4]  
Fan J., 1996, Local Polynomial Modelling and Its Applications: Monographs on Statistics and Applied Probability
[5]   DESIGN-ADAPTIVE NONPARAMETRIC REGRESSION [J].
FAN, JQ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1992, 87 (420) :998-1004
[6]  
Fan JQ, 1998, ANN STAT, V26, P943
[7]   LOCAL LINEAR-REGRESSION SMOOTHERS AND THEIR MINIMAX EFFICIENCIES [J].
FAN, JQ .
ANNALS OF STATISTICS, 1993, 21 (01) :196-216
[8]  
FAN JQ, 1995, J ROY STAT SOC B, V57, P371
[9]   MULTIVARIATE ADAPTIVE REGRESSION SPLINES [J].
FRIEDMAN, JH .
ANNALS OF STATISTICS, 1991, 19 (01) :1-67
[10]  
Granger C. W. J., 1993, MODELING NONLINEAR D