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Interaction between Autocorrelation and Conditional Heteroscedasticity: A Random-Coefficient Approach

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Author Info
Bera, Anil K
Higgins, Matthew L
Lee, Sangkyu

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Abstract

In applied econometrics, the authors tend to tackle specification problems one at a time rather than considering them jointly. This has serious consequences for statistical inference. One example of this is considering autocorrelation and autoregressive conditional heteroscedasticity separately. In this article, the authors consider a linear regression model with random coefficient autoregressive disturbances that provides a convenient framework to analyze autocorrelation and autoregressive conditional heteroscedasticity simultaneously. Their stationarity conditions and testing results reveal the strong interaction between autoregressive conditional heteroscedasticity and autocorrelation. An empirical example of testing the unbiasedness of experts' expectations of inflation demonstrates that neglecting conditional heteroscedasticity or misspecifying the autocorrelation structure might result in unreliable inference.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 10 (1992)
Issue (Month): 2 (April)
Pages: 133-42
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Handle: RePEc:bes:jnlbes:v:10:y:1992:i:2:p:133-42

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  1. J. Peter Ferderer, 1999. "Credibility of the Interwar Gold Standard, Uncertainty, and the Great Depression," Macroeconomics 9907002, EconWPA. [Downloadable!]
  2. H. Wong & W. Li, 2002. "Detecting and Diagnostic Checking Multivariate Conditional Heteroscedastic Time Series Models," Annals of the Institute of Statistical Mathematics, Springer, vol. 54(1), pages 45-59, March. [Downloadable!] (restricted)
  3. James D. Hamilton, 2008. "Macroeconomics and ARCH," NBER Working Papers 14151, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Marc Sáez & Robert M. Kunst, 1995. "ARCH Patterns in Cointegrated Systems," Economics Working Papers 110, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  5. De Arce Borda, R., 2004. "20 años de modelos ARCH: una visión de conjunto de las distintas variantes de la familia/20 Years of Arch Modelling: a Survey of Different Models in the Family," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 22, pages 27, Abril. [Downloadable!] (restricted)
  6. He, Changli & Teräsvirta, Timo, 2002. "An application of the analogy between vector ARCH and vector random coefficient autoregressive models," Working Paper Series in Economics and Finance 516, Stockholm School of Economics. [Downloadable!]
  7. Stefan Mittnik & Marc Paolella & Svetlozar Rachev, 1998. "Unconditional and Conditional Distributional Models for the Nikkei Index," Asia-Pacific Financial Markets, Springer, vol. 5(2), pages 99-128, May. [Downloadable!] (restricted)
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