Title
The asymptotic convexity of the negative likelihood function of GARCH models
Abstract
We prove the convexity of the negative likelihood function in the asymptotic sense for GARCH models. This property provides assurance for the convergence of numerical optimization algorithms for maximum likelihood estimation of GARCH. A simulation study is conducted in order to compare the performance of several different iteration algorithms. An example based on the log-returns of foreign exchange rates is also given.
Year
DOI
Venue
2006
10.1016/j.csda.2004.08.012
Computational Statistics & Data Analysis
Keywords
Field
DocType
negative likelihood function,garch,numerical optimization algorithm,foreign exchange rates,asymptotic sense,garch model,different iteration algorithm,iterative algorithm,simulation study,convexity,maximum likelihood estimation,convergence,asymptotic convexity,foreign exchange rate,maximum likelihood estimate,likelihood function
Econometrics,Convergence (routing),Convexity,Likelihood function,Foreign exchange rates,Iterative method,Maximum likelihood,Statistics,Autoregressive conditional heteroskedasticity,Mathematics,Exchange rate
Journal
Volume
Issue
ISSN
50
2
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
3
4.14
0
Authors
4
Name
Order
Citations
PageRank
W. C. Ip134.14
Heung Wong28022.74
J. Z. Pan334.14
D. F. Li434.14