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Journal of Population Sciences

Table 1 GAPC stochastic mortality models

From: On the evolution of the gender gap in life expectancy at normal retirement age for OECD countries

Model

Predictor

LC (Brouhns et al., 2002; Lee & Carter, 1992)

\({\eta }_{x,t}={\mathrm{\alpha }}_{x}+{\beta }_{x}^{(1)}{k}_{t}^{(1)}\)

RH (Renshaw & Haberman, 2006)

\({\eta }_{x,t}={\mathrm{\alpha }}_{x}+{\beta }_{x}^{(1)}{k}_{t}^{(1)}+{\gamma }_{t-x}\)

APC (Currie, 2006)

\({\eta }_{x,t}={\mathrm{\alpha }}_{x}+{k}_{t}^{(1)}+{\gamma }_{t-x}\)

CBD (Cairns et al., 2006)

\({\eta }_{x,t}={k}_{t}^{(1)}+(x-\overline{x }){k}_{t}^{(2)}\)

M7 (Cairns et al., 2009)

\({\eta }_{x,t}={k}_{t}^{(1)}+(x-\overline{x }){k}_{t}^{\left(2\right)}{+((x-\overline{x })}^{2}-{\widehat{\sigma }}_{x}^{2}){k}_{t}^{\left(3\right)}+{\gamma }_{t-x}\)

PLAT (Plat, 2009)

\({\eta }_{x,t}={\mathrm{\alpha }}_{x}+{k}_{t}^{(1)}+\left(x-\overline{x }\right){k}_{t}^{\left(2\right)}+(\overline{x }-x){k}_{t}^{\left(3\right)}+{\gamma }_{t-x}\)