Surveys in Mathematics and its Applications


ISSN 1842-6298
Volume 1 (2006), 1 - 12

MODELING SEASONAL TIME SERIES

Alexandra Colojoară

Abstract. The paper studies the seasonal time series as elements of a (finite dimensional) Hilbert space and proves that it is always better to consider a trend together with a seasonal component even the time series seams not to has one. We give a formula that determines the seasonal component in function of the considered trend that permits to compare the different kind of trends.

2000 Mathematics Subject Classification: 62M10.
Keywords: seasonal time series, model, regressor.

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References

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  2. P.J. Brockwell and R.A. Davis, Introduction to time series and forecasting. Second edition, Springer Texts in Statistics, Springer-Verlag, New York, 2002. MR1894099(2002m:62002). Zbl 0994.62085.

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  4. C. Gourieux et A. Monfort, Series Temporelles et modeles Dynamiques, Economica, Paris, 1990.

Acknowledgement. This work is partially supported by CEEX grant PR-D11-PT00-48/2005 and by PICS 3450.

Alexandra Colojoară
University of Bucharest,
Bd. Regina Elisabeta, Nr. 4-12, Bucharest,
Romania.
e-mail: acolojoara@fmi.unibuc.ro

http://www.utgjiu.ro/math/sma