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dc.contributor.authorRuckstuhl, Andreas-
dc.contributor.authorWelsh, A.H.-
dc.date.accessioned2018-06-25T12:40:56Z-
dc.date.available2018-06-25T12:40:56Z-
dc.date.issued2001-
dc.identifier.issn0090-5364de_CH
dc.identifier.urihttp://www.jstor.org/stable/2674073de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/7225-
dc.description.abstractWe consider the problem of robust inference for the binomial(m, I) model. The discreteness of the data and the fact that the parameter and sample spaces are bounded mean that standard robustness theory gives surprising results. For example, the maximum likelihood estimator (MLE) is quite robust, it cannot be improved on for m = 1 but can be for m > 1. We discuss four other classes of estimators: M-estimators , minimum disparity estimators, optimal MGP estimators, and a new class of estimators which we call E-estimators. We show that E-estimators have a non-standard asymptotic theory which challenges the accepted relationships between robustness concepts and thereby provides new perspectives on these concepts.de_CH
dc.language.isoende_CH
dc.publisherInstitute of Mathematical Statisticsde_CH
dc.relation.ispartofAnnals of Statisticsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectStatistikde_CH
dc.subjectBinomial modelde_CH
dc.subjectRobust fittingde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleRobust fitting of the binomial modelde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Datenanalyse und Prozessdesign (IDP)de_CH
zhaw.funding.euNode_CH
zhaw.issue4de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end1136de_CH
zhaw.pages.start1117de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume29de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Engineering

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Ruckstuhl, A., & Welsh, A. H. (2001). Robust fitting of the binomial model. Annals of Statistics, 29(4), 1117–1136. http://www.jstor.org/stable/2674073
Ruckstuhl, A. and Welsh, A.H. (2001) ‘Robust fitting of the binomial model’, Annals of Statistics, 29(4), pp. 1117–1136. Available at: http://www.jstor.org/stable/2674073.
A. Ruckstuhl and A. H. Welsh, “Robust fitting of the binomial model,” Annals of Statistics, vol. 29, no. 4, pp. 1117–1136, 2001, [Online]. Available: http://www.jstor.org/stable/2674073
RUCKSTUHL, Andreas und A.H. WELSH, 2001. Robust fitting of the binomial model. Annals of Statistics [online]. 2001. Bd. 29, Nr. 4, S. 1117–1136. Verfügbar unter: http://www.jstor.org/stable/2674073
Ruckstuhl, Andreas, and A.H. Welsh. 2001. “Robust Fitting of the Binomial Model.” Annals of Statistics 29 (4): 1117–36. http://www.jstor.org/stable/2674073.
Ruckstuhl, Andreas, and A. H. Welsh. “Robust Fitting of the Binomial Model.” Annals of Statistics, vol. 29, no. 4, 2001, pp. 1117–36, http://www.jstor.org/stable/2674073.


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