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. Author manuscript; available in PMC: 2014 Mar 17.
Published in final edited form as: Demography. 2003 May;40(2):217–245. doi: 10.1353/dem.2003.0013

Table 3.

Sets of Maximum-Likelihood (ML) Estimates for 22 Epidemiological Parameters, With a Time-Invariant, a Gamma, or an Exponential Incidence Curve

Parameters Time Invariant Gamma Exponential
Vertical Transmission Rate (%) 38.5 38.5 38.5
Early-Selection Fertility
 Coefficient
1.431 1.672 1.707
Duration-Specific Fertility
 Impairment Coefficients
 0–4 1.000 0.848 0.758
 5–9 0.478 0.357 0.303
 10 and above 0.332 0.293 0.238
Female Age-Specific Relative
 Incidence Ratio
 15–19 0.789 0.594 0.480
 20–24 1.486 1.325 1.114
 25–29 1.000 1.000 1.000
 30–34 0.744 0.752 0.718
 35–39 0.617 0.635 0.534
 40–44 0.684 0.551 0.549
 45–49 0.272 0.356 0.266
 50–54 0.323 0.295 0.375
 55–59 0.275 0.246 0.314
Male Age-Specific Relative
 Incidence Ratio
 15–19 0.075 0.059 0.054
 20–24 0.735 0.583 0.499
 25–29 1.318 1.149 0.975
 30–34 1.077 0.963 0.983
 35–39 0.731 0.759 0.682
 40–44 0.678 0.769 0.619
 45–49 0.733 0.622 0.558
 50–54 0.437 0.417 0.468
 55–59 0.152 0.168 0.168
Number of Observations 46,387 46,387 46,387
Log-Likelihood ‒587.2 ‒566.8 ‒675.8
Degrees of Freedom 33 33 33

Note: Figures that are shaded are those outside the confidence interval for the ML estimates when the gamma curve is used. In addition to the 22 parameters shown in the table, the degrees of freedom include 11 parameters for the scale of the epidemic in each of the 11 populations.