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Stationarity of a family of GARCH processes

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Publication:3653360
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DOI10.1111/j.1368-423X.2009.00294.xzbMath1178.62102MaRDI QIDQ3653360

Ji-Chun Liu

Publication date: 22 December 2009

Published in: The Econometrics Journal (Search for Journal in Brave)


zbMATH Keywords

strict stationarityintegrated GARCHGARCH processes family


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Stationary stochastic processes (60G10)


Related Items (1)

On improved volatility modelling by fitting skewness in ARCH models



Cites Work

  • Stationarity of GARCH processes and of some nonnegative time series
  • Strict stationarity of generalized autoregressive processes
  • Subadditive ergodic theory
  • Properties of moments of a family of GARCH processes
  • Moving average conditional heteroskedastic processes
  • Limit theorems for products of positive random matrices
  • Generalized autoregressive conditional heteroscedasticity
  • Stationarity and the existence of moments of a family of GARCH processes.
  • ON THE TAIL BEHAVIORS OF A FAMILY OF GARCH PROCESSES
  • Matrix Analysis
  • Quadratic ARCH Models
  • Threshold heteroskedastic models
  • Threshold \(\text{Arch}(1)\) processes: Asymptotic inference


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