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The width of a spectral window

Published online by Cambridge University Press:  14 July 2016

E. J. Hannan  and
J. Rissanen
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Abstract

A method is derived for choosing the width of a spectral window in spectrum estimation. The method is based upon the idea of minimising complexity, i.e. the length, in bits, of a code for the data.

Keywords

SPECTRUMBANDWIDTHSTOCHASTIC COMPLEXITYCONJUGATE PRIOR
Type
Part 7 - Stationary Processes and Time Series
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 301 - 307
Copyright
Copyright © Applied Probability Trust 1988 

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References

Akaike, H. (1977) On entropy maximization principle, in Applications of Statistics, ed. Krishnaiah, P. R., North-Holland, Amsterdam, 27–41.Google Scholar
Box, G. E. and Jenkins, G. M. (1970) Time Series Analysis, Forecasting and Control. Holden-Day, San Francisco.Google Scholar
Chen, Zhao-Guo and Hannan, E. J. (1980) The distribution of periodogram ordinates. J. Time Series Anal. 1, 73–82.Google Scholar
Hannan, E. J. (1970) Time Series Analysis. Wiley, New York.Google Scholar
Hannan, E. J. and Kavalieries, L. (1986) Regression, autoregression models. J. Time Series Anal. 7, 27–49.CrossRefGoogle Scholar
Jenkins, G. M. and Watts, D. G. (1968) Spectral Analysis and its Applications. Holden-Day, San Francisco.Google Scholar
Priestley, M. B. (1981) Spectral Analysis and Time Series. Academic Press, New York.Google Scholar
Rissanen, J. (1978) Modeling by shortest data description. Automatica 14, 4654–471.CrossRefGoogle Scholar
Rissanen, J. (1986) Stochastic complexity and modeling. Ann. Statist. 14, 1080–1100.CrossRefGoogle Scholar
Rissanen, J. (1987) Stochastic complexity (with discussions). J. R. Statist. Soc. B 49.Google Scholar
Schwarz, G. (1978) Estimating the dimension of a model. Ann. Statist. 6, 461–464.CrossRefGoogle Scholar
Whittle, P. (1951) Hypothesis Testing in Time Series Analysis. Almqvist and Wiksell, Stockholm.Google Scholar