Asymptotic normality for the quasi-maximum likelihood estimator of a GARCH model

被引:35
作者
Boussama, F [1 ]
机构
[1] Univ Paris 07, Upresa 7055, F-75251 Paris 05, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 01期
关键词
D O I
10.1016/S0764-4442(00)01593-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the quasi-maximum likelihood estimator of a GARCH(p,q) model is asymptotically Gaussian. We consider the case where the initial values are stationary and then the case where these variables are arbitrarily choosen. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:81 / 84
页数:4
相关论文
共 11 条
[1]   GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY [J].
BOLLERSLEV, T .
JOURNAL OF ECONOMETRICS, 1986, 31 (03) :307-327
[2]  
BOUGEROL P, 1992, ANN PROBAB, V20, P369
[3]  
BOUSSAMA F, 1998, THESIS U PARIS 7
[4]  
ELIE L, 1994, C R ACAD SCI PARIS 1, V320, P1255
[5]   AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY WITH ESTIMATES OF THE VARIANCE OF UNITED-KINGDOM INFLATION [J].
ENGLE, RF .
ECONOMETRICA, 1982, 50 (04) :987-1007
[6]  
FRANCQ C, 1998, C R ACAD SCI PARIS 1, V320, P495
[7]  
JEANTHEAU T, 1993, THESIS U PARIS 7
[8]   ASYMPTOTIC THEORY FOR THE GARCH(1,1) QUASI-MAXIMUM LIKELIHOOD ESTIMATOR [J].
LEE, SW ;
HANSEN, BE .
ECONOMETRIC THEORY, 1994, 10 (01) :29-52
[9]  
Ling SQ, 1998, ANN STAT, V26, P84
[10]   Consistency and asymptotic normality of the quasi-maximum likelihood estimator in IGARCH(1,1) and covariance stationary GARCH(1,1) models [J].
Lumsdaine, RL .
ECONOMETRICA, 1996, 64 (03) :575-596