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A Generalized loss ratio method dealing with uncertain volume measures

Recurso electrónico / electronic resource
MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20180022579
003  MAP
005  20180717154923.0
008  180712e20180501bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
1001 ‎$0‎MAPA20140007493‎$a‎Riegel, Ulrich
24512‎$a‎A Generalized loss ratio method dealing with uncertain volume measures‎$c‎Ulrich Riegel
520  ‎$a‎Unlike chain ladder, the loss ratio method requires volume measures. Typically, these volumes are assumed to be known. In practice, however, accurate volume measures are rarely available. We interpret the available volumes as estimators for the true volume measures and analyze the consequences for the loss ratio method. In particular, we calculate the mean squared error of prediction, including uncertainty of volume measures, and derive approximately optimal weights for the observed incremental loss ratios. We then introduce a generalization of the loss ratio method that is tailored to the situation of uncertain volume measures and calculate the prediction uncertainty of this generalized loss ratio method
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080614324‎$a‎Indice de siniestralidad
650 4‎$0‎MAPA20080586447‎$a‎Modelo estocástico
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/05/2018 Volumen 48 Número 2 - mayo 2018 , p. 699-747