TY - JOUR

T1 - M-estimation for some GARCH - type models : computation and application.

AU - Iqbal, Farhat

AU - Mukherjee, Kanchan

PY - 2010/10

Y1 - 2010/10

N2 - In this paper, we consider robust M-estimation fo time series models with both symmetric and asymmetric forms of hetroscedasticity related to the GARCH and GJR models. The class of estimators includes least absolute deviation (LAD), Huber's, Cauchy and B-estimator as well as the well known quasi maximum likelihood estimator (QMLE). Extensive simulations are used to check the relative performance of these estimators in both models and the weighted resampling distribution of M-estimators. Our study indicate that there are estimators that can perform better than QMLE and even outperform robust estimator such as LAD when the error distribution is heavy-tailed. These estimators are also applied to real data sets.

AB - In this paper, we consider robust M-estimation fo time series models with both symmetric and asymmetric forms of hetroscedasticity related to the GARCH and GJR models. The class of estimators includes least absolute deviation (LAD), Huber's, Cauchy and B-estimator as well as the well known quasi maximum likelihood estimator (QMLE). Extensive simulations are used to check the relative performance of these estimators in both models and the weighted resampling distribution of M-estimators. Our study indicate that there are estimators that can perform better than QMLE and even outperform robust estimator such as LAD when the error distribution is heavy-tailed. These estimators are also applied to real data sets.

KW - GJR model - GARCH model - Computing M-estimator - B-estimator - VaR

U2 - 10.1007/s11222-009-9135-x

DO - 10.1007/s11222-009-9135-x

M3 - Journal article

VL - 20

SP - 435

EP - 445

JO - Statistics and Computing

JF - Statistics and Computing

SN - 0960-3174

IS - 4

ER -