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자연과학대학
통계학전공
Journal papers
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Stationarity and functional central limit theorem for ARCH(∞) models
Title
Stationarity and functional central limit theorem for ARCH(∞) models
Authors
Lee O.
Ewha Authors
이외숙
SCOPUS Author ID
이외숙
Issue Date
2018
Journal Title
Economics Letters
ISSN
0165-1765
Citation
Economics Letters vol. 162, pp. 107 - 111
Keywords
Functional central limit theorem
;
L2-NED property
;
Mixture memory GARCH process
;
Random coefficient ARCH(∞) process
Publisher
Elsevier B.V.
Indexed
SSCI; SCOPUS
Document Type
Article
Abstract
In this paper, we study the stationarity and functional central limit theorem for (random coefficient) ARCH(∞) models including HYAPGARCH and mixture memory GARCH models. Those models are able to cover long memory property with fewer parameters and have finite variances. The functional central limit theorems for ut and the squared processes ut 2 and σt 2 are proved. Sufficient conditions for L2-NED property to hold are established and the FCLT for mixture memory GARCH model as an example of a random coefficient ARCH(∞) process is derived via L2-NED condition. © 2017
DOI
10.1016/j.econlet.2017.11.017
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