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A Marked cox model for the number of ibnr claims : estimation and application
Recurso electrónico / Electronic resource
Registro MARC
Tag12Valor
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005  20191106164440.0
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24512‎$a‎​A Marked cox model for the number of ibnr claims‎$b‎​: estimation and application‎$c‎​Andrei L. Badescu...[et.al.]
520  ‎$a‎​Incurred but not reported (IBNR) loss reserving is of great importance for Property & Casualty (P&C) insurers. However, the temporal dependence exhibited in the claim arrival process is not reflected in many current loss reserving models, which might affect the accuracy of the IBNR reserve predictions. To overcome this shortcoming, we proposed a marked Cox process and showed its many desirable properties in Badescu et al. (2016). In this paper, we consider the model estimation and applications. We first present an expectationmaximization (EM) algorithm which guarantees the efficiency of the estimators unlike the moment estimation methods widely used in estimating Cox processes. In addition, the proposed fitting algorithm can be implemented at a reasonable computational cost. We examine the performance of the proposed algorithm through simulation studies. The applicability of the proposed model is tested by fitting it to a real insurance claim data set. Through out-of-sample tests, we find that the proposed model can provide realistic predictive distributions.
650 4‎$0‎​MAPA20080537630‎$a‎​IBNR ‌
650 4‎$0‎​MAPA20080576783‎$a‎​Modelo de Markov ‌
650 4‎$0‎​MAPA20080579258‎$a‎​Cálculo actuarial ‌
650 4‎$0‎​MAPA20080567118‎$a‎​Reclamaciones ‌
7730 ‎$w‎​MAP20077000420‎$t‎​Astin bulletin‎$d‎​Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎​0515-0361‎$g‎​02/09/2019 Volumen 49 Número 3 - septiembre 2019 , p. 709-739