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Estimating Moving Average Parameters: Classical Pileups and Bayesian Posteriors
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Estimating Moving Average Parameters: Classical Pileups and Bayesian Posteriors

Author

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  • DeJong, David N
  • Whiteman, Charles H

Abstract

The authors analyze posterior distributions of the moving average parameter in the first-order case and sampling distributions of the corresponding maximum likelihood estimator. Sampling distributions 'pile up' at unity when the true parameter is near unity; hence, if one were to difference such a process, estimates of the moving average component of the resulting series would spuriously tend to indicate that the process was overdifferenced. Flat-prior posterior distributions do not pile up, however, regardless of the parameter's proximity to unity; hence, caution should be taken in dismissing evidence that a series has been overdifferenced.

Suggested Citation

  • DeJong, David N & Whiteman, Charles H, 1993. "Estimating Moving Average Parameters: Classical Pileups and Bayesian Posteriors," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 311-317, July.
    • Handle: RePEc:bes:jnlbes:v:11:y:1993:i:3:p:311-17
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    Citations

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    Cited by:

    1. Kim, Chang-Jin & Kim, Jaeho, 2013. "The `Pile-up Problem' in Trend-Cycle Decomposition of Real GDP: Classical and Bayesian Perspectives," MPRA Paper 51118, University Library of Munich, Germany.
    2. Hamilton James D., 2005. "Comment on "Investigating Nonlinearity"," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(3), pages 1-10, September.
    3. Kleibergen, F.R. & Hoek, H., 1995. "Bayesian analysis of ARMA models using noninformative priors," Other publications TiSEM 81684a10-935f-49c4-b5ab-0, Tilburg University, School of Economics and Management.
    4. Kurt F. Lewis & Francisco Vazquez-Grande, 2017. "Measuring the Natural Rate of Interest : A Note on Transitory Shocks," Finance and Economics Discussion Series 2017-059, Board of Governors of the Federal Reserve System (U.S.).
    5. Gabor Katay & Lisa Kerdelhué & Matthieu Lequien, 2020. "Semi-Structural VAR and Unobserved Components Models to Estimate Finance-Neutral Output Gap," Working Papers 2020-11, Joint Research Centre, European Commission.
    6. Derek Bond & Michael J. Harrison & Niall Hession & Edward J. O'Brien, 2006. "Some Empirical Observations on the Forward Exchange Rate Anomaly," Trinity Economics Papers tep2006, Trinity College Dublin, Department of Economics.
    7. Triantafyllopoulos, K. & Nason, G.P., 2007. "A Bayesian analysis of moving average processes with time-varying parameters," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 1025-1046, October.

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