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A Credibility approach for combining likelihoods of generalized linear models

Recurso electrónico / Electronic resource
MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20160032390
003  MAP
005  20161123172327.0
008  161103e20160901bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20130002446‎$a‎Christiansen, Marcus C.
24512‎$a‎A Credibility approach for combining likelihoods of generalized linear models‎$c‎Marcus C. Christiansen and Edo Schinzinger
520  ‎$a‎Generalized linear models are a popular tool for the modelling of insurance claims data. Problems arise with the model fitting if little statistical information is available. In case that related statistics are available, statistical inference can be improved with the help of the borrowing-strength principle. We present a credibility approach that combines the maximum likelihood estimators of individual canonical generalized linear models in a meta-analytic way to an improved credibility estimator. We follow the concept of linear empirical Bayes estimation, which reduces the necessary parametric assumptions to a minimum. The concept is illustrated by a simulation study and an application example from mortality modelling.
7001 ‎$0‎MAPA20160014273‎$a‎Schinzinger, Edo
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/09/2016 Volumen 46 Número 3 - septiembre 2016 , p. 531-569