TY - BOOK AU - Shimizu,Kenichi ED - SpringerLink (Online service) TI - Bootstrapping Stationary ARMA-GARCH Models SN - 9783834897787 AV - QA1-939 U1 - 510 23 PY - 2010/// CY - Wiesbaden PB - Vieweg+Teubner KW - Mathematics KW - Mathematics, general N1 - Bootstrap Does not Always Work -- Parametric AR(p)-ARCH(q) Models -- Parametric ARMA(p, q)- GARCH(r, s) Models -- Semiparametric AR(p)-ARCH(1) Models N2 - Bootstrap technique is a useful tool for assessing uncertainty in statistical estimation and thus it is widely applied for risk management. Bootstrap is without doubt a promising technique, however, it is not applicable to all time series models. A wrong application could lead to a false decision to take too much risk. Kenichi Shimizu investigates the limit of the two standard bootstrap techniques, the residual and the wild bootstrap, when these are applied to the conditionally heteroscedastic models, such as the ARCH and GARCH models. The author shows that the wild bootstrap usually does not work well when one estimates conditional heteroscedasticity of Engle’s ARCH or Bollerslev’s GARCH models while the residual bootstrap works without problems. Simulation studies from the application of the proposed bootstrap methods are demonstrated together with the theoretical investigation UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-8348-9778-7 ER -