Modelling the survival function of the Spanish population by the Wong–Tsui model with the incorporation of frailty and covariates

María-Dolores Huete-Morales (), Esteban Navarrete-Álvarez, María-Jesús Rosales-Moreno, María-José Del-Moral-Ávila and José-Manuel Quesada-Rubio
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María-Dolores Huete-Morales: University of Granada
Esteban Navarrete-Álvarez: University of Granada
María-Jesús Rosales-Moreno: University of Granada
María-José Del-Moral-Ávila: University of Granada
José-Manuel Quesada-Rubio: University of Granada

Letters in Spatial and Resource Sciences, 2020, vol. 13, issue 2, No 3, 163 pages

Abstract: Abstract This paper presents a variant of the survival function proposed by Wong and Tsui, in which we include a component reflecting heterogeneity among individuals (frailty), together with a covariate describing the influence of certain characteristics of individuals on the response variable. Using mortality statistics for the entire Spanish population, we estimated survival functions according to the variants of the model considered, also determining life expectancies and mortality ratios at each age. The advantage of the proposed variant is that it incorporates gender differences, by including sex as a covariate. Furthermore, it reflects the intrinsic randomness of individuals. With this approach, additional parameters must be considered, but all were found to be significant.

Keywords: Covariate; Frailty; Survival function; Wong–tsui model; Life expectancy; C13; C41; C51; J11; N34 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s12076-020-00250-5

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