Title
Diagnostic checking integer-valued ARCH(p) models using conditional residual autocorrelations
Abstract
Time series of counts are commonly observed in real-world applications. The integer-valued ARCH(p) models are able to describe integer-valued processes and offer the potential to be widely applied in practice in future. This paper develops an asymptotic theory for (partial) autocorrelations of the conditional residuals from the integer-valued ARCH(p) model. Based on the above results, we propose five portmanteau test statistics, which are very useful in checking the adequacy of a fitted integer-valued ARCH specification. The asymptotic distributions of the statistics are derived and their finite sample properties are studied in detail through Monte Carlo simulations. Finally, we illustrate the results analyzing two empirical examples.
Year
DOI
Venue
2010
10.1016/j.csda.2009.09.019
Computational Statistics & Data Analysis
Keywords
Field
DocType
monte carlo simulation,integer-valued process,finite sample property,asymptotic theory,diagnostic checking,conditional residual,fitted integer-valued arch specification,conditional residual autocorrelations,portmanteau test statistic,asymptotic distribution,integer-valued arch,empirical example,time series
Econometrics,Residual,Arch,Portmanteau test,Monte Carlo method,Conditional probability distribution,Test statistic,Stochastic process,Statistics,Mathematics,Autocorrelation
Journal
Volume
Issue
ISSN
54
2
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
4
0.99
3
Authors
2
Name
Order
Citations
PageRank
Fukang Zhu183.85
yang2157.73