A Change-point Estimator with Unsymmetric Fourier Series

  • Kim, Jaehee (Department of Statistics, Duksung Women′s University)
  • Published : 2002.12.01

Abstract

In this paper we propose a change-point estimator with left and right regressions using the sample Fourier coefficients on the orthonormal bases. The window size is different according to the data in the left side and in the right side at each point. The asymptotic properties of the proposed change-point estimator are established. The limiting distribution and the consistency of the estimator are derived.

Keywords

References

  1. Technometrics v.34 Edge-preserving and peak-preserving smoothing Hall, R.;Titterington, D. M.
  2. Biometrika v.57 Inference about the change-point in a sequence of random variables Hinkley, D. V.
  3. Journal of Time Series Analysis v.19 Tests for change in a mean function when the data are dependent Kim, J. H.;Hart, J. D.
  4. The Annals of Statistics v.24 Change point estimation using nonparametric regression Loader, C. R.
  5. Technometrics v.30 Detecting change points by Fourier analysis Lombard, F.
  6. Technometrics v.28 Smoothing with split linear fits McDonald, J. A.;Owen, A. B.
  7. Fourier Series Tolstov, G. P.