Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Robust fitting of the binomial model
Authors: Ruckstuhl, Andreas
Welsh, A.H.
Published in: Annals of Statistics
Volume(Issue): 29
Issue: 4
Page(s): 1117
Pages to: 1136
Issue Date: 2001
Publisher / Ed. Institution: Institute of Mathematical Statistics
ISSN: 0090-5364
Language: English
Subjects: Statistik; Binomial model; Robust fitting
Subject (DDC): 510: Mathematics
Abstract: We 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.
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
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.
Ruckstuhl, A. and Welsh, A.H. (2001) ‘Robust fitting of the binomial model’, Annals of Statistics, 29(4), pp. 1117–1136. Available at:
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:
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:
Ruckstuhl, Andreas, and A.H. Welsh. 2001. “Robust Fitting of the Binomial Model.” Annals of Statistics 29 (4): 1117–36.
Ruckstuhl, Andreas, and A. H. Welsh. “Robust Fitting of the Binomial Model.” Annals of Statistics, vol. 29, no. 4, 2001, pp. 1117–36,

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