Uses of the Buys-Ballot Table in Time Series Analysis

References

[1] C. Chatfield, “The Analysis of Time Series: An Introduction,” Chapman and Hall/CRC Press, Boca Raton, 2004.

[2] D. B. Percival and A. T. Walden, “Wavelet Methods for Time Series Analysis,” Cambridge University Press, Cambridge, 2000.

[3] M. B. Priestley, “Spectral Analysis and Time Series Analysis,” Academic Press, London, Vol. 1-2, 1981.

[4] G. E. P. Box, G. M. Jenkins and G. C. Reinsel, “Time Series Analysis, Forecasting and Control,” 3rd Edition, Prentice-Hall, Englewood Cliffs, 1994.

[5] W. W. S. Wei, “Time Series Analysis: Univariate and Multivariate Methods,” Addison-Wesley, Redwood City, 1989.

[6] M. G. Kendal and J. K. Ord, “Time Series,” 3rd Edition, Charles Griffin, London, 1990.

[7] G. M. Ljung and G. E. P. Box, “On a Measure of Lack of Fit in Time Series Models,” Biometrika, Vol. 65, No. 2, 1978, pp. 297-303. doi:10.1093/biomet/65.2.297

[8] H. Wold, “A Study in the Analysis of Stationary Time Series,” 2nd Edition, Almqrist and Witsett, Stockholm, 1938.

[9] C. H. D. Buys-Ballot, “Leo Claemert Periodiques de Temperature,” Kemint et Fills, Utrecht, 1847.

[10] I. S. Iwueze and A. C. Akpanta, “Effect of the Logarithmic Transformation on the Trend-Cycle Component,” Journal of Applied Science, Vol. 7, No. 17, 2007, pp. 2414-2422.

[11] I. S. Iwueze and E. C. Nwogu, “Buys-Ballot Estimates for Time Series Decomposition,” Global Journal of Mathematics, Vol. 3, No. 2, 2004, pp. 83-98.

[12] I. S. Iwueze and J. Ohakwe, “Buys-Ballot Estimates When Stochastic Trend is Quadratic,” Journal of the Nigerian Association of Mathematical Physics, Vol. 8, 2004, pp. 311-318.

[13] I. S. Iwueze and E. C. Nwogu “Buys-Ballot Estimates for Exponential and S-Shaped Curves, for Time Series,” Journal of the Nigerian Association of Mathematical Physics, Vol. 9, 2005, pp 357-366.

[14] I. S. Iwueze, E. C. Nwogu and J. C. Ajaraogu, “Properties of the Buys-Ballot Estimates When Trend-Cycle Component of a Time Series is Linear: Additive Case,” International Journal of Methematics and Computation, Vol. 8, No. S10, 2010, pp. 18-27.

[15] G. E. P. Box and D. R. Cox, “An Analysis of Transformations,” Journal of the Royal Statistical Society, Series B, Vol. 26, No. 2, 1964, pp. 211-243.

[16] A. C. Akpanta and I. S. Iwueze, “On Applying the Bartlett Transformation Method to Time Series Data,” Journal of Mathematical Sciences, Vol. 20, No. 3, 2009, pp. 227-243.

[17] M. S. Bartlett, “The Use of Transformations,” Biometrika, Vol. 3, 1947, pp. 39-52.

[18] R. V. Hogg and A. T. Craig, “Introduction to Mathematical Statistics,” 4th Edition, MacMillan Publishing Company, New York, 1978.

[19] Central Bank of Nigeria, The Statistical Bulletin, Vol. 18, 2007.