Table of Contents
Journal of Applied Mathematics and Decision Sciences
Volume 2006, Article ID 34784, 12 pages

The smoothness criterion as a trend diagnostic

School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

Received 12 January 2005; Accepted 1 March 2005

Copyright © 2006 P. Fogarty and N. C. Weber. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. B. Cleveland, W. S. Cleveland, J. E. McRae, and I. J. Terpenning, “STL: A seasonal-trend decomposition procedure based on Loess,” Journal of Official Statistics, vol. 6, no. 1, pp. 3–73, 1990. View at Google Scholar
  2. A. Gray and P. Thomson, “Design of moving-average trend filters using fidelity and smoothness criteria,” in Athens Conference on Applied Probability and Time Series Analysis in Memory of E. J. Hannan, Vol. II (1995), P. Robinson and M. Rosenblatt, Eds., vol. 115 of Lecture Notes in Statist., pp. 205–219, Springer, New York, 1996. View at Google Scholar · View at MathSciNet
  3. R. Henderson, “Note on graduation by adjusted average,” Transactions of the Actuarial Society of America, vol. 17, pp. 43–48, 1916. View at Google Scholar
  4. R. Henderson, “A new method of graduation,” Transactions of the Actuarial Society of America, vol. 25, pp. 29–40, 1924. View at Google Scholar
  5. P. B. Kenny and J. Durbin, “Local trend estimation and seasonal adjustment of economic and social time series,” Journal of the Royal Statistical Society. Series A, vol. 145, pp. 1–41, 1982. View at Publisher · View at Google Scholar
  6. D. London, Graduation: The Revision of Estimates, ACTEX, Connecticut, 1985.
  7. F. Macaulay, The Smoothing of Time Series, National Bureau of Economic Research, New York, 1931.
  8. K. V. Mardia, J. T. Kent, and J. M. Bibby, Multivariate Analysis, Probability and Mathematical Statistics, A Series of Monographs and Textbooks, Academic Press, London, 1979. View at Zentralblatt MATH · View at MathSciNet
  9. C. H. McLaren and D. G. Steel, “Rotation patterns and trend estimation for repeated surveys using rotation group estimates,” Statistica Neerlandica, vol. 55, no. 2, pp. 221–238, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  10. C. H. McLaren and D. G. Steel, “Designing trend filters and rotation patterns for repeated surveys,” School of Mathematics and Applied Statistics, University of Wollongong. preprint no. 19/98, 1998.
  11. E. T. Whittaker, “On a new method of graduation,” Proceedings of the Edinburgh Mathematical Society, vol. 41, pp. 63–75, 1923. View at Google Scholar