Wild bootstrap in RCA(1) model

Zuzana Prášková

Kybernetika (2003)

  • Volume: 39, Issue: 1, page [1]-12
  • ISSN: 0023-5954

Abstract

top
In the paper, a heteroskedastic autoregressive process of the first order is considered where the autoregressive parameter is random and errors are allowed to be non-identically distributed. Wild bootstrap procedure to approximate the distribution of the least-squares estimator of the mean of the random parameter is proposed as an alternative to the approximation based on asymptotic normality, and consistency of this procedure is established.

How to cite

top

Prášková, Zuzana. "Wild bootstrap in RCA(1) model." Kybernetika 39.1 (2003): [1]-12. <http://eudml.org/doc/33618>.

@article{Prášková2003,
abstract = {In the paper, a heteroskedastic autoregressive process of the first order is considered where the autoregressive parameter is random and errors are allowed to be non-identically distributed. Wild bootstrap procedure to approximate the distribution of the least-squares estimator of the mean of the random parameter is proposed as an alternative to the approximation based on asymptotic normality, and consistency of this procedure is established.},
author = {Prášková, Zuzana},
journal = {Kybernetika},
keywords = {randomcoefficient autoregression; heteroskedasticity; wild bootstrap; random coefficient autoregression; heteroskedasticity},
language = {eng},
number = {1},
pages = {[1]-12},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Wild bootstrap in RCA(1) model},
url = {http://eudml.org/doc/33618},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Prášková, Zuzana
TI - Wild bootstrap in RCA(1) model
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 1
SP - [1]
EP - 12
AB - In the paper, a heteroskedastic autoregressive process of the first order is considered where the autoregressive parameter is random and errors are allowed to be non-identically distributed. Wild bootstrap procedure to approximate the distribution of the least-squares estimator of the mean of the random parameter is proposed as an alternative to the approximation based on asymptotic normality, and consistency of this procedure is established.
LA - eng
KW - randomcoefficient autoregression; heteroskedasticity; wild bootstrap; random coefficient autoregression; heteroskedasticity
UR - http://eudml.org/doc/33618
ER -

References

top
  1. Anděl J., 10.1080/02331887608801334, Math. Operationsforch. Statist. 7 (1976), 735–741 (1976) MR0428649DOI10.1080/02331887608801334
  2. Davidson J., Stochastic Limit Theory, Oxford University Press, New York 1994 Zbl0904.60002MR1430804
  3. Janečková H., Time Series with Changing Parameters, Ph.D. Thesis, Charles University, Prague 2002 
  4. Janečková H., Some generalizations in a heteroscedastic RCA(1) model, Acta Univ. Carolin. – Math. Phys. 43 (2002), 21–47 Zbl1186.62107MR1959860
  5. Jürgens U., 10.1007/BF02932535, Statist. Hefte 16 (1985), 237–249 (1985) Zbl0573.62086MR0861799DOI10.1007/BF02932535
  6. Kreiss J. P., Asymptotical properties of residual bootstrap for autoregression, Preprint, TU Braunschweig 1997 
  7. Liu R. Y., Bootstrap procedures under some non-i, i.d. models. Ann. Statist. 16 (1988), 1696–1708 (1988) Zbl0655.62031MR0964947
  8. Nicolls D. F., Quinn B. G., Random Coefficient Autoregressive Models: An Introduction (Lecture Notes in Statistics 11), Springer–Verlag, New York 1982 MR0671255
  9. Prášková Z., Bootstrapping in nonstationary autoregression, Kybernetika 38 (2002), 389–404 MR1937136

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.