eprintid: 21347 rev_number: 14 eprint_status: archive userid: 2326 dir: disk0/00/02/13/47 datestamp: 2016-06-20 08:20:40 lastmod: 2016-06-20 13:07:27 status_changed: 2016-06-20 08:20:40 type: workingPaper metadata_visibility: show creators_name: Dahlhaus, Rainer creators_name: Janas, Daniel title: A frequency domain bootstrap for ration statistics in time series analysis subjects: ddc-310 subjects: ddc-510 divisions: i-110400 keywords: Autocorrelations; bootstrap; periodogram ordinates; ratio statistics; spectral mean; time series; Whittle estimators note: Arbeitstitel: Efron's Bootstrap for Ratio Statistics in Time Series Analysis auch erschienen in: The Annals of Statistics (1996), Vol. 24, No. 5, p. 1934-1963. abstract: We prove that Efron's bootstrap applied to the sample ofstudentized periodogram ordinates works quite well for ratio statistics,e.g. estimates for the autocorrelations. The bootstrap approximation for the distribution of these statistics is accurate to the order o 1/SQRT(T)a.s. As a consequence this result carries over to the Whittle estimates.Some simulation studies are reported for a medium-sized stretch of atime series. date: 1996 id_scheme: DOI id_number: 10.11588/heidok.00021347 schriftenreihe_cluster_id: sr-10a schriftenreihe_order: 13 ppn_swb: 1657240452 own_urn: urn:nbn:de:bsz:16-heidok-213474 language: eng bibsort: DAHLHAUSRAAFREQUENCY1996 full_text_status: public place_of_pub: Heidelberg pages: 35 citation: Dahlhaus, Rainer ; Janas, Daniel (1996) A frequency domain bootstrap for ration statistics in time series analysis. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/21347/1/beitrag.13.pdf