Filters
Results 1 - 1 of 1
Results 1 - 1 of 1.
Search took: 0.028 seconds
Zhao, Hai Qing; Li, Yuan; Zhao, Yan Meng, E-mail: zhaohq@lingnan.edu.cn, E-mail: mathly@gzhu.edu.cn, E-mail: zym@szu.edu.cn2019
AbstractAbstract
[en] Empirical likelihood inference for parametric and nonparametric parts in functional coefficient ARCH-M models is investigated in this paper. Firstly, the kernel smoothing technique is used to estimate coefficient function δ(x). In this way we obtain an estimated function with parameter β. Secondly, the empirical likelihood method is developed to estimate the parameter β. An estimated empirical log-likelohood ratio is proved to be asymptotically standard chi-squred, and the maximum empirical likelihood estimation (MELE) for β is shown to be asymptotically normal. Finally, based on the MELE of β, the empirical likelihood approach is again applied to reestimate the nonparametric part δ(x). The empirical log-likelohood ratio for δ(x) is proved to be also asymptotically standard chi-squred. Simulation study shows that the proposed method works better than the normal approximation method in terms of average areas of confidence regions for β, and the empirical likelihood confidence belt for δ(x) performs well.
Primary Subject
Source
Copyright (c) 2019 Institute of Mathematics, Academy of Mathematics and Systems Science (CAS), Chinese Mathematical Society (CAS) and Springer-Verlag GmbH Germany, part of Springer Nature; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Acta Mathematica Sinica. English Series (Internet); ISSN 1439-7617; ; v. 35(2); p. 270-296
Country of publication
Reference NumberReference Number
INIS VolumeINIS Volume
INIS IssueINIS Issue