DOI QR코드

DOI QR Code

Bootstrapping Log Periodogram Regression

  • Nam, Gilnam (Korea Fixed Income Research Institute) ;
  • Cho, Sinsup (Department of Statistics, Seoul National University) ;
  • Yeo, In-Kwon (Division of Mathematics and Statistical Informatics, Chonbuk National University)
  • 발행 : 2003.12.01

초록

In this paper, we consider a modified bootstrap scheme for inference of the GPH estimator and establish the sup-norm consistency of the proposed bootstrapping.

키워드

참고문헌

  1. Time Series: Theory and Methods Brockwell,P.J.;Davis,R.A.
  2. Journal of Staistical Planning and Inference v.53 On asymptotic properties of bootstrap for AR(1) processes Datta,S. https://doi.org/10.1016/0378-3758(95)00147-6
  3. Annals of Statistics v.14 Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series Fox,R.;Taqqu,M.S. https://doi.org/10.1214/aos/1176349936
  4. Annals of Statistics v.9 Bootstrapping regression models Freedman,D.A. https://doi.org/10.1214/aos/1176345638
  5. Journal of Time Series Analysis v.4 The estimation and application of long memory time series models Geweke,J.;Porter-Hudak,S. https://doi.org/10.1111/j.1467-9892.1983.tb00371.x
  6. Probability Theory and Related Fields v.86 A central limit theorem for quadratic form in strongly dependent linear variables and its application to Whittle's estimate Giraitis,R.F.;Surgailis,D. https://doi.org/10.1007/BF01207515
  7. Journal of Time Series Analysis v.1 An introduction to long memory time series models and fractional differencing Granger,C.W.J.;Joyeux,R. https://doi.org/10.1111/j.1467-9892.1980.tb00297.x
  8. Journal of Time Series Analysis v.15 Automatic semiparametric estimation of the memory parameter of a long memory time series Hurvich,C.M.;Beltrao,K.I. https://doi.org/10.1111/j.1467-9892.1994.tb00194.x
  9. Journal of Time Series Analysis v.19 The mean squared error of Geweke and Porter-Hudak's estimator of the momory parameter of a long memory time series Hurvich,C.M.;Deo,R.;Brodsky,J. https://doi.org/10.1111/1467-9892.00075
  10. Journal of Applied Probability v.23 Discrimination between monotomic trends and long range dependence Kunsch,H.R. https://doi.org/10.2307/3214476
  11. Annals of Statistics v.23 Log periodogram regression of time series with long range dependence Robinson,P.M. https://doi.org/10.1214/aos/1176324636