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Graphical goodness-of-fit test for mortality models

María Luz Gámiz, María Dolores Martinez-Miranda and Rocío Raya-Miranda

Mathematical Population Studies, 2018, vol. 25, issue 3, 123-142

Abstract: Candidate parametric mortality models are tested graphically. If the model is correct, the transformed data are distributed exponentially. The graphical test is based on scale and space inference. It involves smoothing of the hazard rate and simultaneous confidence intervals. It is applied to a frailty model used to set annuity reserves. Simulation and the comparison with other non-graphical tests shows that the graphical test helps localize discrepancies of empirical data with respect to the tested model.

Date: 2018
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DOI: 10.1080/08898480.2018.1477381

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Mathematical Population Studies is currently edited by Prof. Noel Bonneuil, Annick Lesne, Tomasz Zadlo, Malay Ghosh and Ezio Venturino

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