On stationarity and β-mixing property of certain nonlinear GARCH(p,q) models

Oslee Lee; D. W. Shin

doi:10.1016/j.spl.2005.02.011

On stationarity and β-mixing property of certain nonlinear GARCH(p,q) models

Oslee Lee, D. W. Shin

Department of Statistics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Certain types of nonlinear GARCH (p, q) model which allows a signed volatility are considered. Sufficient conditions for strict stationarity and β-mixing with exponential decay rates are provided.

Original language	English
Pages (from-to)	25-35
Number of pages	11
Journal	Statistics and Probability Letters
Volume	73
Issue number	1
DOIs	https://doi.org/10.1016/j.spl.2005.02.011
State	Published - 1 Jun 2005

Bibliographical note

Funding Information:
This work was supported by Grant R06-2002-012-01002-0 from Basic Research Program of the Korea Science and Engineering Foundation.

Keywords

GARCH model
Moments
Stationarity
β-Mixing

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10.1016/j.spl.2005.02.011

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title = "On stationarity and β-mixing property of certain nonlinear GARCH(p,q) models",

abstract = "Certain types of nonlinear GARCH (p, q) model which allows a signed volatility are considered. Sufficient conditions for strict stationarity and β-mixing with exponential decay rates are provided.",

keywords = "GARCH model, Moments, Stationarity, β-Mixing",

author = "Oslee Lee and Shin, {D. W.}",

note = "Funding Information: This work was supported by Grant R06-2002-012-01002-0 from Basic Research Program of the Korea Science and Engineering Foundation. ",

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AU - Shin, D. W.

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AB - Certain types of nonlinear GARCH (p, q) model which allows a signed volatility are considered. Sufficient conditions for strict stationarity and β-mixing with exponential decay rates are provided.

KW - GARCH model

KW - Moments

KW - Stationarity

KW - β-Mixing

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U2 - 10.1016/j.spl.2005.02.011

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M3 - Article

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JO - Statistics and Probability Letters

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ER -

On stationarity and β-mixing property of certain nonlinear GARCH(p,q) models

Abstract

Bibliographical note

Keywords

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