Bayesian Multivariate Mixed Poisson Models with Copula-Based Mixture

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<rdf:Description>
<dc:creator>Zhang, Pengcheng</dc:creator>
<dc:date>2023-09-06</dc:date>
<dc:description xml:lang="es">Sumario: It 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 </dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/184220.do</dc:identifier>
<dc:language>eng</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Cálculo actuarial</dc:subject>
<dc:subject xml:lang="es">Siniestralidad</dc:subject>
<dc:subject xml:lang="es">Pólizas</dc:subject>
<dc:subject xml:lang="es">Inferencia estadística</dc:subject>
<dc:subject xml:lang="es">Tarificación</dc:subject>
<dc:subject xml:lang="es">Métodos de análisis</dc:subject>
<dc:subject xml:lang="es">Teorema de Bayes</dc:subject>
<dc:subject xml:lang="es">Modelización mediante cópulas</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">Bayesian Multivariate Mixed Poisson Models with Copula-Based Mixture</dc:title>
<dc:relation xml:lang="es">En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 06/09/2023 Tomo 27 Número 3 - 2023 , 20 p.</dc:relation>
</rdf:Description>
</rdf:RDF>