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On ordinary ridge regression in generalized linear models
Umeå universitet, Samhällsvetenskapliga fakulteten, Statistiska institutionen.
1992 (engelsk)Inngår i: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, ISSN 0361-0926, Vol. 21, nr 8, s. 2227-2246Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this paper it is shown that an ill-conditioned data matrix has similar effects on the parameter estimator when estimating generalized linear models as when estimating linear regression models. Asymptotically, the average length of the maximum likelihood estimator of a parameter vector increases as the conditioning of the covariance matrix deteriorates. A generalization of the ridge regression is suggested for maximum likelihood estimation in generalized linear models. In particular the existence of a ridge coefficient, k, such that the asymptotic mean square error of the generalized linear model ridge estimator is smaller than the asymptotic variance of the maximum likelihood estimator is shown. A numerical example illustrates the theoretical results

sted, utgiver, år, opplag, sider
Philadelphia: Taylor & Francis , 1992. Vol. 21, nr 8, s. 2227-2246
Emneord [en]
Bootstrap, Maximum likelihood, Maximum vraisemblance, Generalized linear model, Modèle linéaire généralisé, Ridge regression, Régression ridge, Mean square error, Erreur quadratique moyenne, Optimization, Optimisation, Matrice mal conditionnée
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URN: urn:nbn:se:umu:diva-46791OAI: oai:DiVA.org:umu-46791DiVA, id: diva2:441300
Tilgjengelig fra: 2011-09-15 Laget: 2011-09-14 Sist oppdatert: 2018-06-08bibliografisk kontrollert

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