Table of Contents
ISRN Probability and Statistics
Volume 2012, Article ID 926164, 39 pages
Research Article

Distributions Escaping to Infinity and the Limiting Power of the Cliff-Ord Test for Autocorrelation

International School of Economics, Kazakh-British Technical University, Tole bi 59, Almaty 050000, Kazakhstan

Received 18 September 2012; Accepted 24 October 2012

Academic Editors: J. Hu, A. Hutt, and J. Villarroel

Copyright © 2012 Kairat T. Mynbaev. 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. K. Yosida, Functional Analysis, Springer, 1965.
  2. E. Lukacs, Characteristic Functions, Griffn, 2nd edition, 1970. View at Zentralblatt MATH
  3. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space, Dover Publications, 1993. View at Zentralblatt MATH
  4. F. Martellosio, “Power properties of invariant tests for spatial autocorrelation in linear regression,” Econometric Theory, vol. 26, no. 1, pp. 152–186, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. A. D. Cliff and J. K. Ord, Spatial Processes: Models & Applications, Pion, 1981.
  6. W. Krämer, “Finite sample power of Cliff-Ord-type tests for spatial disturbance correlation in linear regression,” Journal of Statistical Planning and Inference, vol. 128, no. 2, pp. 489–496, 2005. View at Publisher · View at Google Scholar
  7. F. Martellosio, “Testing for spatial autocorrelation: the regressors that make the power disappear,” Econometric Reviews, vol. 31, no. 2, pp. 215–240, 2012. View at Publisher · View at Google Scholar
  8. T. Kariya, “Locally robust tests for serial correlation in least squares regression,” The Annals of Statistics, vol. 8, no. 5, pp. 1065–1070, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. R. M. Dudley, Uniform Central Limit Theorems, vol. 63, Cambridge University Press, 1999. View at Publisher · View at Google Scholar
  10. P. Billingsley, Convergence of Probability Measures, John Wiley & Sons, 1968.
  11. A. N. Kolmogorov and S. V. Fomin, Introduction to the Theory of Functions and Functional Analysis, Nauka, 1972.
  12. V. I. Burenkov, “Approximation by infinitely differentiable functions with preservation of boundary values,” in Proceedings of the Steklov Mathematical Institute, vol. 180, pp. 76–79, 1989.
  13. C. R. Rao, Linear Statistical Inference and Its Applications, John Wiley & Sons, 1965.
  14. N. Dunford and J. T. Schwartz, Linear Operators. Part I: General Theory, Wiley-Interscience, 1958.
  15. B. Van Es and H.-W. Uh, “Asymptotic normality of kernel-type deconvolution estimators,” Scandinavian Journal of Statistics, vol. 32, no. 3, pp. 467–483, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH