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dc.date.accessioned2013-03-12T08:17:35Z
dc.date.available2013-03-12T08:17:35Z
dc.date.issued2001en_US
dc.date.submitted2011-07-07en_US
dc.identifier.urihttp://hdl.handle.net/10852/10297
dc.description.abstractThis survey is intended for estimating several types of copyright volume at different educational institutions in Norway. Using a calibration factor being equal to the ratio of the true number of machine pages taken from all machines at an institution to the corresponding estimated number, will make the estimates less biased and less variable. There are two reasonable estimates. In addition to suggesting a bootstrap procedure for selecting one of them, we propose to fit a weighted average of both. The weight is estimated through bootstraping by minimizing the mean square error of the combined estimate summed over all possible types of copyright material. We expect to assign more weight to the estimate which has less mean square error. The paper discusses ways of analyzing the bias and ways of estimating the variances of the estimates through the bootstrap. Analyzing the data by bootstraping gave significantly better performance for the combined estimate compared to using the best of the two estimates chosen by bootstrap selection. However, setting the weights equal to 0.5 gave the overall best performance. It is not straightforward to analyze theoretically the bias of the estimates. Such an analysis is given in an appendix for a fixed weighted average based on a simultanous model for the number of machine pages and the number of original pages taken by each person.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Statistical Research Report http://urn.nb.no/URN:NBN:no-23420en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-23420
dc.titleCombining two estimates applied in a survey of copyright volumes at higher educational institutions in Norway using the bootstrapen_US
dc.typeResearch reporten_US
dc.date.updated2011-07-07en_US
dc.creator.authorStorvik, Bården_US
dc.creator.authorNatvig, Benten_US
dc.creator.authorAldrin, Magne T.en_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-28562en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo132069en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10297/1/stat-res-09-01.pdf


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