The Reserve uncertainties in the chain ladder model of mack revisited

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<dc:creator>Gisler, Alois</dc:creator>
<dc:date>2019-09-02</dc:date>
<dc:description xml:lang="es">Sumario: We revisit the full picture of the claims development uncertainty in Mack's (1993) distribution-free stochastic chain ladder model. We derive the uncertainty estimators in a new and easily understandable way, which is much simpler than the derivation found so far in the literature, and compare them with the well known estimators of Mack and of MerzWüthrich. Our uncertainty estimators of the one-year run-off risks are new and different to the MerzWüthrich formulas. But if we approximate our estimators by a first order Taylor expansion, we obtain equivalent but simpler formulas. As regards the ultimate run-off risk, we obtain the same formulas as Mack for single accident years and an equivalent but better interpretable formula for the total over all accident years.

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<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/169783.do</dc:identifier>
<dc:language>spa</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Teorema de Bayes</dc:subject>
<dc:subject xml:lang="es">Modelos actuariales</dc:subject>
<dc:subject xml:lang="es">Predicciones estadísticas</dc:subject>
<dc:subject xml:lang="es">Cálculo actuarial</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">The Reserve uncertainties in the chain ladder model of mack revisited</dc:title>
<dc:relation xml:lang="es">En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 02/09/2019 Volumen 49 Número 3 - septiembre 2019 , p. 787-821</dc:relation>
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