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Markov chain approximation in bootstrapping autoregressions

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Author Info
Stanislav Anatolyev () (New Economic School, Moscow)
Andrey Vasnev () (New Economic School, Moscow)

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Abstract

We propose a bootstrap algorithm for autoregressions based on the approximation of the data generating process by a finite state discrete Markov chain. We discover a close connection of the proposed algorithm with existing bootstrap resampling schemes, run a small Monte-Carlo experiment, and give an illustrative example.

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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2002)
Issue (Month): 19 ()
Pages: 1-8
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Handle: RePEc:ebl:ecbull:v:3:y:2002:i:19:p:1-8

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Related research
Keywords: Bootstrap resampling in time series; Local bootstrap; Markov chain;

Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics

References listed on IDEAS
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  1. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
    Other versions:
  2. Paparoditis, Efstathios & Politis, Dimitris N., 2001. "A Markovian Local Resampling Scheme For Nonparametric Estimators In Time Series Analysis," Econometric Theory, Cambridge University Press, vol. 17(03), pages 540-566, June. [Downloadable!]
  3. Gregory, Allan W, 1989. "A Nonparametric Test for Autoregressive Conditional Heteroscedasticity: A Markov-Chain Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 107-15, January.
  4. Bruce E. Hansen, 2000. "Non-Parametric Data Dependent Bootstrap for Conditional Moment Model," Econometric Society World Congress 2000 Contributed Papers 1556, Econometric Society. [Downloadable!]
  5. Lutz Kilian, 1999. "FINITE-SAMPLE PROPERTIES OF PERCENTILE AND PERCENTILE-t BOOTSTRAP CONFIDENCE INTERVALS FOR IMPULSE RESPONSES," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 652-660, November. [Downloadable!] (restricted)
  6. Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-25, April-Jun. [Downloadable!] (restricted)
    Other versions:
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This page was last updated on 2009-11-16.


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