Title
Statistical inference for generalized random coefficient autoregressive model.
Abstract
In this paper, we consider the application of the empirical likelihood method to the generalized random coefficient autoregressive (GRCA) model. The empirical log-likelihood ratio statistics are proposed and the nonparametric versions of the Wilk’s theorem are obtained. Furthermore, when the order of the model is 1, we also derive a test statistic to test the stationary–ergodicity based on the conditional least-squares method. Numerical results from simulation studies suggest that the empirical likelihood method is more accurate than the normal approximation-based method of Hwang and Basawa (1998) [1]. Some simulation studies are also conducted to investigate the finite sample performances of the proposed test.
Year
DOI
Venue
2012
10.1016/j.mcm.2011.12.002
Mathematical and Computer Modelling
Keywords
Field
DocType
Empirical likelihood,Least squares estimation,Asymptotic normality,Generalized random coefficient autoregressive model,Confidence region
Autoregressive model,Score test,Mathematical optimization,Test statistic,Likelihood-ratio test,Empirical likelihood,Nonparametric statistics,Statistical inference,STAR model,Statistics,Mathematics
Journal
Volume
Issue
ISSN
56
7
0895-7177
Citations 
PageRank 
References 
2
0.80
0
Authors
2
Name
Order
Citations
PageRank
Zhiwen Zhao1255.23
yang2157.73