Asymptotic Spectral Theory for Nonlinear Time Series

  title={Asymptotic Spectral Theory for Nonlinear Time Series},
  author={Xiaofeng Shao and Wei Biao Wu},
We consider asymptotic problems in spectral analysis of stationary causal processes. Limiting distributions of periodograms and smoothed periodogram spectral density estimates are obtained and applications to the spectral domain bootstrap are given. Instead of the commonly used strong mixing conditions, in our asymptotic spectral theory we impose conditions only involving (conditional) moments, which are easily verifiable for a variety of nonlinear time series. 


Publications referenced by this paper.
Showing 1-10 of 79 references

Some asymptotic theory for the bootstrap

  • P. J. Bickel, D. A. Freedman
  • Ann. Statist. 9 1196-1217.
  • 1981
Highly Influential
4 Excerpts

The Statistical Analysis of Time Series

  • T W.
  • Appl. Probab
  • 1971
Highly Influential
8 Excerpts

The maximum deviation of sample spectral densities

  • Ann . Math . Statist .
  • 1967
Highly Influential
4 Excerpts

Necessary and sufficient moment conditions for the GARCH(r, s) and asymmetric power GARCH(r, s) models

  • S. Ling, M. McAleer
  • Econometric Theory 18 722-729.
  • 2002
Highly Influential
6 Excerpts

Stationarity and the existence of moments of a family of GARCH processes

  • S. Ling, M. McAleer
  • J. Econometrics. 106 109-117.
  • 2002
Highly Influential
5 Excerpts

Non-strong mixing autoregressive processes

  • D.W.K. Andrews
  • J.
  • 1984
Highly Influential
4 Excerpts

The distribution of the periodogram ordinates

  • Z. G. Chen, E. J. Hannan
  • J. Time Ser. Anal. 1 73-82.
  • 1980
Highly Influential
4 Excerpts

Large sample properties of spectral estimators for a class of stationary nonlinear processes

  • K. C. Chanda
  • J. Time Ser. Anal. 26 1-16.
  • 2005
Highly Influential
3 Excerpts

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