期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 56, 期 7-8, 页码 152-166出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.12.002
关键词
Empirical likelihood; Least squares estimation; Asymptotic normality; Generalized random coefficient autoregressive model; Confidence region
类别
资金
- National Natural Science Foundation of China [10971081, 11001105, 11071126, 10926156, 11071269, J0730101]
- Specialized Research Fund for the Doctoral Program of Higher Education [20070183023, 20110061110003]
- Program for New Century Excellent Talents in University [NCET-08-237]
- Jilin University [201100011, 200810024, 200903278]
- Ministry of Education [11YJAZH125]
- Science and Technology Development Program of Jilin Province
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. (c) 2011 Elsevier Ltd. All rights reserved.
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