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Estimation of Change Points of Infinite Dimensional Parameters in Short Epidemics

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Abstract

We consider the epidemic change of the distribution of a real-valued sample and of the mean of Banach-space-valued random elements. For these two models, we propose consistent procedures for estimating the location and length of epidemic change.

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REFERENCES

  1. P. J. Avery and D. A. Henderson, Detecting a changed segment in DNA sequences, J. Roy. Statist. Soc. Ser. C, 48, 489–503 (1999).

    MathSciNet  Google Scholar 

  2. N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation, Encyclopaedia Math. Appl., Cambridge University Press (1987).

  3. D. Commenges, J. Seal, and F. Pinatel, Inference about a change point in experimental neurophysiology, Math. Biosci., 80, 81–108 (1986).

    Article  Google Scholar 

  4. M. Csorgo and L. Horvath, Limit Theorems in Change-Point Analysis, Wiley, New York (1997).

    Google Scholar 

  5. A. Kirman and G. Teyssiere, Bubbles and long range dependence in asset prices volatilities, in: C. Hommes, R. Ramer and C. Withagen (Eds.), Equilibrium, Markets and Dynamics, Springer (2002), pp. 307–327.

  6. M. Ledoux and M. Talagrand, Probability in Banach Spaces, Springer, Berlin, (1991).

    Google Scholar 

  7. A. Rackauskas and Ch. Suquet, Holder norm test statistics for epidemic change, J. Statist. Plann. Inference, 126(2), 495–520 (2004).

    MathSciNet  Google Scholar 

  8. A. Rackauskas and Ch. Suquet, Testing epidemic change of infinite dimensional parameters, Statist. Inference Stochastic Process. (2005), to appear.

  9. A. Rackauskas and Ch. Suquet, Necessary and sufficient condition for the Holderian functional central limit theorem, J. Theoret. Probab., 17(1), 221–243 (2004).

    MathSciNet  Google Scholar 

  10. G. R. Shorack and J. A. Wellner, Empirical Processes with Applications to Statistics, Wiley, New York (1986).

    Google Scholar 

  11. Q. Yao, Tests for change-points with epidemic alternatives, Biometrika, 80, 179–191 (1993).

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Akademijos 4, LT-08663, Vilnius, Lithuania

    A. Rackauskas

  2. Vilnius University, Naugarduko 24, LT-03225, Vilnius, Lithuania

    A. Rackauskas

  3. Laboratoire P. Painleve (UMR 8524 CNRS), Bat. M2 U.F.R. de Mathematiques, Universite des Sciences et Technologies de Lille, F-59655, Villeneuve d'Ascq Cedex, France

    Ch. Suquet

Authors
  1. A. Rackauskas
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  2. Ch. Suquet
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Additional information

This work was supported by cooperation agreement Lille-Vilnius EGIDE Gillibert.

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Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 567–586, October–December, 2005.

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Rackauskas, A., Suquet, C. Estimation of Change Points of Infinite Dimensional Parameters in Short Epidemics. Lith Math J 45, 458–474 (2005). https://doi.org/10.1007/s10986-006-0008-0

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  • DOI: https://doi.org/10.1007/s10986-006-0008-0

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