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Power transformation and threshold modeling for ARCH innovations with applications to tests for ARCH structure

Authors
Hwang, SYKim, TY
Issue Date
Apr-2004
Publisher
ELSEVIER SCIENCE BV
Keywords
ergodicity; threshold ARCH; power transformation; tests for ARCH structure; semiparametric tests
Citation
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.110, no.2, pp 295 - 314
Pages
20
Journal Title
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume
110
Number
2
Start Page
295
End Page
314
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/15891
DOI
10.1016/j.spa.2003.11.001
ISSN
0304-4149
1879-209X
Abstract
A new class of power-transformed threshold ARCH models is proposed as a threshold-asymmetric generalization of the nonlinear ARCH considered by Higgins and Bera. [Internat. Econom. Rev. 33 (1992) 137]. This class is rich enough to include diverse nonlinear and non-symmetric ARCH models which have been spelled out in the literature. Geometric ergodicity of the model and existence of stationary moments are studied. The model facilitates discussing ARCH structures and hence large sample tests for ARCH structures are investigated via local asymptotic normality approach. Semiparametric tests are also discussed for the case when the error density is unknown. (C) 2003 Elsevier B.V. All rights reserved.
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