The literature related to health and economic development allows learning about different studies that have found a direct relationship between higher per capita income and a higher level of health (Lee & Mills, 1983; Ehrlich & Lui, 1991; Barro, 1996a y Mayer-Foulkes, 2001). In the methodological process, Barro (1996a) has indicated that the instrumental variables, in this case, are used to explain all the information available for the dependent variable; the autoregressive vector (AR) represent the past values of the dependent variable and the average mobiles (AM) are the weighted sum of current and lagged random disturbances. The relationship between the coefficient of elasticity Gini and the infant mortality rate (IMR), presented a positive sign; therefore, a high level of income inequality causes a higher rate of infant mortality (Barro, 1996b; Mayer-Foulkes, 2001). Furthermore, in a series of cross-country macroeconomic studie,s also found evidence of significant impact of life expectancy on economic growth (Barro and Sala-i-Martin, 1995; Barro, 1996b).