A comparison of parametric models for mortality graduation. Application to mortality data of the Valencia Region

• Autores: Ramón Sala Garrido , Francisco Montes Suay , Ana María Debón Aucejo
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 29, Nº. 2, 2005, págs. 269-287
• Idioma: inglés
• Títulos paralelos:
  • Una comparación de modelos paramétricos para la graduación de la mortalidad. Aplicación a los datos de mortalidad de la región de Valencia (España).
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• Dialnet Métricas: 1 Cita
• Resumen

  • HolaThe parametric graduation of mortality data has as its objective the satisfactory estimation of the death rates based on mortality data but using an age-dependent function whose parameters are adjusted from the crude rates obtainable directly from the data.

    This paper proposes a revision of the most commonly used parametric methods and compares the results obtained with each of them when they are applied to the mortality data for the Valencia Region. As a result of the comparison, we conclude that the Gompertz-Makeham functions estimated by means of generalized linear models lead to the best results. Our working method is of additional interest for being applicable to mortality data for a wide range of ages from any geographical conditions, allowing us to select the most appropriate life table for the case in hand.

    MSC: 62P05 Keywords: Gompertz-Makeham functions, Heligman and Pollard¿s laws, parametric graduation HolaLa gradualitzaci¿o param`etrica de dades de mortalitat t¿e com a objectiu l¿estimaci¿o correcta de taxes de mort a partir de les dades de mortalitat mitjanc¿ant una funci¿o que dep`en de l¿edat, els par`ametres de la qual s¿ajusten a partir de les taxes ¿brutes¿ de mortalitat obtingudes directament de les dades. Aquest article presenta una revisi¿o dels models param`etrics m¿es habituals i la seua aplicaci¿o a les dades de mortalitat del Pa¿ýs Valenci`a. Com a conseq¿u`encia de la comparaci¿o dels resultats obtinguts amb els diferents models, es conclou que les funcions de Gompertz-Makeham estimades mitjanc¿ant models lineals generalitzats condueixen als millors resultats. El m`etode de treball que es presenta t¿e inter`es suplementari per ser aplicable a dades de mortalitat per a un ampli rang d¿edats i per a qualsevol `ambit geogr`afic, permetent en cada cas seleccionar la millor taula de vida.

    Paraules clau: funcions de Gompertz-Makeham, lleis de Heligman i Pollard¿s, gradualitzaci ¿o param`etrica

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