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Applying state space models to stochastic claims reserving
Recurso electrónico / Electronic resource
MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20210005541
003  MAP
005  20210219145554.0
008  210219e20210101bel|||p |0|||b|eng d
040  ‎$a‎​MAP‎$b‎​spa‎$d‎​MAP
084  ‎$a‎​6
100  ‎$0‎​MAPA20210003127‎$a‎​Hendrych, Radek ‌
24510‎$a‎​Applying state space models to stochastic claims reserving‎$c‎​Radek Hendrych, Tomas Cipra
520  ‎$a‎​The paper solves the loss reserving problem using Kalman recursions in linear statespace models. In particular, if one orders claims data from run-off triangles to time series with missing observations, then state space formulation can be applied for projections or interpolations of IBNR (Incurred But Not Reported) reserves. Namely, outputs of the corresponding Kalman recursion algorithms for missing or future observations can be taken as the IBNR projections. In particular, by means of such recursive procedures one can perform effectively simulations in order to estimate numerically the distribution of IBNR claims which may be very useful in terms of setting and/or monitoring of prudency level of loss reserves. Moreover, one can generalize this approach to the multivariate case of several dependent run-off triangles for correlated business lines and the outliers in claims data can be also treated effectively in this way. Results of a numerical study for several sets of claims data (univariate and multivariate ones) are presented.
650 4‎$0‎​MAPA20080586447‎$a‎​Modelo estocástico ‌
650 4‎$0‎​MAPA20080553128‎$a‎​Algoritmos ‌
650 4‎$0‎​MAPA20080579258‎$a‎​Cálculo actuarial ‌
7001 ‎$0‎​MAPA20210003134‎$a‎​Cipra, Tomas ‌
7730 ‎$w‎​MAP20077000420‎$t‎​Astin bulletin‎$d‎​Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎​0515-0361‎$g‎​01/01/2021 Volumen 51 Número 1 - enero 2021 , p. 267-301