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Bayesian Multivariate Mixed Poisson Models with Copula-Based Mixture

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Tag12Value
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001  MAP20230022016
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005  20231214124050.0
008  231027e20230906usa|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
24510‎$a‎Bayesian Multivariate Mixed Poisson Models with Copula-Based Mixture‎$c‎Pengcheng Zhang...[et al.]
520  ‎$a‎It is common practice to use multivariate count modeling in actuarial literature when dealing with claim counts from insurance policies with multiple covers. One possible way to construct such a model is to implement copula directly on discrete margins. However, likelihood inference under this construction involves the computation of multidimensional rectangle probabilities, which could be computationally expensive, especially in the elliptical copula case. Another potential approach is based on the multivariate mixed Poisson model. The crucial work under this method is to find an appropriate multivariate continuous distribution for mixing parameters. By virtue of the copula, this issue could be easily addressed. Under such a framework, the Markov chain Monte Carlo (MCMC) method is a feasible strategy for inference. The usefulness of our model is then illustrated through a real-life example. The empirical analysis demonstrates the superiority of adopting a copula-based mixture over other types of mixtures. Finally, we demonstrate how those fitted models can be applied to the insurance ratemaking problem in a Bayesian context
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080570651‎$a‎Siniestralidad
650 4‎$0‎MAPA20080545017‎$a‎Pólizas
650 4‎$0‎MAPA20080606688‎$a‎Inferencia estadística
650 4‎$0‎MAPA20080564322‎$a‎Tarificación
650 4‎$0‎MAPA20080591960‎$a‎Métodos de análisis
650 4‎$0‎MAPA20100065242‎$a‎Teorema de Bayes
650 4‎$0‎MAPA20090035034‎$a‎Modelización mediante cópulas
7001 ‎$0‎MAPA20220005258‎$a‎Zhang, Pengcheng
7730 ‎$w‎MAP20077000239‎$g‎06/09/2023 Tomo 27 Número 3 - 2023 , 20 p.‎$x‎1092-0277‎$t‎North American actuarial journal‎$d‎Schaumburg : Society of Actuaries, 1997-
85600‎$y‎MÁS INFORMACIÓN‎$u‎ mailto:centrodocumentacion@fundacionmapfre.org?subject=Consulta%20de%20una%20publicaci%C3%B3n%20&body=Necesito%20m%C3%A1s%20informaci%C3%B3n%20sobre%20este%20documento%3A%20%0A%0A%5Banote%20aqu%C3%AD%20el%20titulo%20completo%20del%20documento%20del%20que%20desea%20informaci%C3%B3n%20y%20nos%20pondremos%20en%20contacto%20con%20usted%5D%20%0A%0AGracias%20%0A