V-uniform ergodicity of a continuous time asymmetric power GARCH(1,1) model

Oesook Lee

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1 Scopus citations

Abstract

A continuous time asymmetric power GARCH(1,1) model is presented and the V-uniform ergodicity and β-mixing property of the process with exponential decay rate are proved. The V-uniform ergodicity of the COGARCH(1,1) model is obtained as a special case.

Original languageEnglish
Pages (from-to)812-817
Number of pages6
JournalStatistics and Probability Letters
Volume82
Issue number4
DOIs
StatePublished - Apr 2012

Bibliographical note

Funding Information:
The author is deeply grateful to the referee and the Editor for their helpful comments and suggestions that led to the improvement of this paper. The research for this paper was supported by KRF grant 2010-0015707 and 2008-531-C00018 .

Keywords

  • COGARCH(1,1) process
  • Continuous time asymmetric power GARCH(1,1) process
  • Uniform ergodicity

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