BAYESIAN SEASONAL ANALYSIS WITH ROBUST PRIORS
Keywords:
Seasonal Analysis, Bayesian Inference, Time SeriesAbstract
An analytical Bayesian approach to seasonal analysis is proposed, using robust priors to control for extreme observations. Seasonal fan charts were estimated with Bayesian predictive densities. Empirical applications to U.S. residential electricity consumption, Spain’s tourism and Bolivian’s inflation are presented. The results show that the Bayesian approach allows to investigate probabilistically the seasonal component of a time series, thus accounting for the uncertainty of the seasonal pattern.Downloads
References
H. Akaike. “Seasonal adjustment by a bayesian modeling.” Journal of Time Series Analysis vol. 1, no. 1, pp. 1-13, 1980.
H. Akaike and M. Ishiguro. “Comparative study of the x- 11 and baysea procedures of seasonal adjustment,” in Applied Time Series Analysis of Economic Data, A. Zellner,1983.
W. Bolstad. Introduction to Bayesian Statistics. John Wiley & Sons, 2004.
P. H. Franses. Time Series models for business and economic forecasting. Cambridge University Press, 1998.
P. H. Franses et al. “Bayesian analysis of seasonal unit roots and seasonal mean shifts.” Journal of Econometrics, vol. 78, no. 2, pp. 359-380, June, 1997.
C. W. J. Granger. “Seasonality: Causation, interpretation, and implications,” in Seasonal Analysis of Economic Time Series, National Bureau of Economic Research, 1979, pp. 33-56.
J. B. Jorgensen and F. Joutz. “Modelling and forecasting residential electricity consumption in the u.s. mountain region.” Working Papers 2012-003, The George Washington University, Department of Economics, Research Program on Forecasting, 2012.
S. Kallek. “An overview of the objectives and framework of seasonal adjustment,” in Seasonal Analysis of Economic Time Series, National Bureau of Economic Research, 1978, pp. 3-32.
J. S. Maritz and R. G. Jarrett. “A note on estimating the variance of the sample median.” Journal of the American Statistical Association, vol. 75, no. 361, pp. 194-196, 1978.
R. S. Pindyck and D. L. Rubinfeld. Econometria: Modelos y Pronosticos. McGraw-Hill, 1998.
P. R. Rider. “Variance of the median of small samples from several special populations.” Journal of the American Statistical Association, vol. 55, no. 289, pp. 148-150, 1960.
M. M. Siddiqui. “Approximations to the moments of the sample median.” The Annals of Mathematical Statistics, vol. 33, no. 1, pp. 157-168, 1962.
P. Tommaso and G. Stefano. “Bayesian stochastic model specification search for seasonal and calendar effects.” MPRA Paper 27305, University Library of Munich, Germany, 2010
M. R. Young. “Robust seasonal adjustment by Bayesian modelling.” Journal of Forecasting, vol. 15, no. 5, pp. 355-367, 1996.
Published
How to Cite
Issue
Section
License
Creative Commons Attribution-Noncommercial-Share Alike
CC BY-NC-SA
This license lets others remix, tweak, and build upon your work for non-commercial purposes, as long as they credit the author(s) and license their new creations under the identical terms.
The authors can enter additional separate contract agreements for non-exclusive distribution of the version of the article published in the magazine (for instance, they may publish it in an institutional repository or a book), subject to an acknowledgement of its initial publication in this magazine.