notes the Gompertz model - Eco 572 Research methods in...

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Eco 572: Research methods in Demography The Gompertz Model We will illustrate fitting a Gompertz model to U.S. adult mortality. The survival fuction for U.S. males in 2002 is available in the datasets section of the course website . infile age lx using (111 observations read) . quietly replace lx = lx / 100000 We will compute the cumulative hazard by taking logs, the average hazard for each age by differencing, and the age midpoint by averaging: . gen Hx = - log(lx) . gen hx = H[_n+1] - H (1 missing value generated) . gen am = (age + age[_n+1])/2 (1 missing value generated) . line hx am, yscale(log) (1 of 3) [2/12/2008 10:31:49 AM]
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Eco 572: Research methods in Demography We see the familiar shape and note that it is quite linear for adults, as shown by the red line based on a Gompertz fit. How do we get that? We just regress the log-hazard on age for ages 30 and older. To make the constant a bit more meaningful we will measure age from 30 . gen loghx = log(hx)
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