Autoregressive aided periodogram bootstrap for time series
Date
2001Author
Sonderforschungsbereich Quantifikation und Simulation Ökonomischer ProzesseKreiß, Jens-Peter
Paparoditis Efstathios, E.
Source
Discussion papers of interdisciplinary research project 373Volume
2001,6Google Scholar check
Metadata
Show full item recordAbstract
A bootstrap methodology for the periodogram of a stationary process is proposed which is based on a combination of a time domain parametric and a frequency domain nonparametric bootstrap. The parametric fit is used to generate periodogram ordinates and imitate the essential features of the data and the weak dependence structure of the periodogram while a nonparametric (kernel based) correction is applied in order to catch features not represented by the parametric fit. The asymptotic theory developed shows validity of the proposed bootstrap procedure for a large class of periodogram statistics. For important classes of stochastie processes, validity of the new procedure is established also for periodogram statistics not captured by existing frequency domain bootstrap methods based on independent periodogram replicates. -- Bootstrap periodogram nonparametric estimators ratio statisties, speetral means
Links
http://hdl.handle.net/10419/62745http://nbn-resolving.de/urn:nbn:de:kobv:11-10050164
http://edoc.hu-berlin.de/series/sfb-373-papers/2001-60/PDF/60.pdf