Centro de Documentacion de Fundación MAPFRE - On the calculation of prospective and retrospective reserves in non-Markov models

Notas: Sumario: Almost all life and health insurance models in the actuarial literature use either a Markov assumption or a semi-Markov assumption. This paper shows that non-Markov modelling is also feasible and presents suitable numerical and statistical tools for the calculation of prospective and retrospective reserves. A central idea is to base the calculation of reserves on forward and backward transition rates. Feasible estimators for the forward transition rates have been recently suggested in the medical statistics literature. This paper slightly extends them according to insurance needs and newly introduces symmetric estimators for backward transition rates. Only few adjustments are actually needed in the classical insurance formulas when switching from Markov modelling to as-if-Markov evaluations in order to avoid model riskRegistros relacionados: En: European Actuarial Journal. - Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022. - 06/12/2021 Volúmen 11 - Número 2 - diciembre 2021 , p. 441-462Materia / lugar / evento: Reservas técnicas Modelo de Markov Semi-Markov models Cálculo actuarial Otras clasificaciones: 341

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