By Edward O. Thorp
ISBN-10: 0882753894
ISBN-13: 9780882753898
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Additional info for Elementary probability
Example text
It is for the estimates of these coefficients that a frequency separation of at least 1 /n is required to ensure independence when a sample of only length η is available. A comprehensive account of the subject of spectral analysis is given by Priestley (1981). 7. 4 we drew attention to the fact that the sample acf and pacf can be calculated for series that are not stationary and that these may then give some useful indication of possible transformation to stationarity, by correcting for regression components or by differencing.
And Clements, M. P. (1998). Forecasting Economic Time Series. Cambridge Univ. Press, Cambridge, UK. Jenkins, G. M, and Watts, D. G. (1968). Spectral Analysis and Its Applications. Holden-Day, San Francisco. , Shumway, R. , and Taniguchi, M. (1998). Discrimination and clustering for multivariate time series. J. Am. Stat. Assoc. 93, 328-340. Lutkepohl, H. (1993). Introduction to Multiple Time-Series Analysis. Springer-Verlag, Berlin. Morettin, P. (1999). Ondas e Ondaletas. Edusp, Sao-Paulo. Pandit, D.
Multivariate A R M A time series models are considered by Hannan (1970), Lutkepohl (1993), Reinsel (1993), and Reinsel and Velu (1998). Aoki (1990) and Hannan and Deistler (1988) are important references for state-space modeling of multivariate time series. The limitation of space and time has made that many interesting development in time series have not been introduced in this text. Among them are long memory processes (Beran 1994), wavelets (Hardle et al. 1998, Morettin 1999), and discrimination and clustering in time series (Karizawa et al.
Elementary probability by Edward O. Thorp
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