Title
Robust closed-form estimators for the integer-valued GARCH (1, 1) model.
Abstract
A closed-form estimator and its several robust versions for the integer-valued GARCH(1, 1) model are proposed. These estimators are easy to implement and do not require the use of any numerical optimization procedure. Consistency and asymptotic normality for the non-robust closed-form estimator is established. The robustification of the closed-form estimator is done by replacing the sample mean and autocorrelations by robust estimators of them, respectively. The performances of these closed-form estimators are investigated and compared via simulations. New estimators are applied to 5 stock-market data sets with different periods and time intervals, and their prediction performances are assessed by in-sample prediction, out-of-sample prediction and scoring rules. Other possible proposals related to the closed-form estimators are also discussed.
Year
DOI
Venue
2016
10.1016/j.csda.2016.03.006
Computational Statistics & Data Analysis
Keywords
Field
DocType
Autocorrelation function,Closed-form estimator,Robustness,Time series of counts
Econometrics,Efficient estimator,M-estimator,Extremum estimator,Robustification,Minimax estimator,Statistics,Invariant estimator,Mathematics,Estimator,Asymptotic distribution
Journal
Volume
Issue
ISSN
101
C
0167-9473
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Qi Li100.34
Heng Lian210627.59
Fukang Zhu383.85