On the evaluation of multivariate compound distributions with continuous severity distributions and sarmanov's counting distribution

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<dc:creator>Tamraz, Maissa</dc:creator>
<dc:creator>Vernic, Raluca</dc:creator>
<dc:date>2018-05-01</dc:date>
<dc:description xml:lang="es">Sumario: In this paper, we present closed-type formulas for some multivariate compound distributions with multivariate Sarmanov counting distribution and independent Erlang distributed claim sizes. Further on, we also consider a type-II Pareto dependency between the claim sizes of a certain type. The resulting densities rely on the special hypergeometric function, which has the advantage of being implemented in the usual software. We numerically illustrate the applicability and efficiency of such formulas by evaluating a bivariate cumulative distribution function, which is also compared with the similar function obtained by the classical recursion-discretization approach</dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/165234.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">Matemática del seguro</dc:subject>
<dc:subject xml:lang="es">Métodos de cálculo</dc:subject>
<dc:subject xml:lang="es">Métodos actuariales</dc:subject>
<dc:subject xml:lang="es">Modelo estocástico</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">On the evaluation of multivariate compound distributions with continuous severity distributions and sarmanov's counting distribution</dc:title>
<dc:relation xml:lang="es">En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 01/05/2018 Volumen 48 Número 2 - mayo 2018 , p. 841-870</dc:relation>
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