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. Author manuscript; available in PMC: 2014 Jun 5.
Published in final edited form as: Popul Stud (Camb). 2011 Dec 13;66(1):1–28. doi: 10.1080/00324728.2011.611411

Table 3.

Coefficients for log-quadratic model, estimated using HMD life tables (n = 719)

Age Female Male
ax bx cx vx ax bx cx vx
0 −0.6619 0.7684 −0.0277 0.0000 −0.5101 0.8164 −0.0245 0.0000
1–4 -- -- -- -- -- -- -- --
5–9 −2.5608 1.7937 0.1082 0.2788 −3.0435 1.5270 0.0817 0.1720
10–14 −3.2435 1.6653 0.1088 0.3423 −3.9554 1.2390 0.0638 0.1683
15–19 −3.1099 1.5797 0.1147 0.4007 −3.9374 1.0425 0.0750 0.2161
20–24 −2.9789 1.5053 0.1011 0.4133 −3.4165 1.1651 0.0945 0.3022
25–29 −3.0185 1.3729 0.0815 0.3884 −3.4237 1.1444 0.0905 0.3624
30–34 −3.0201 1.2879 0.0778 0.3391 −3.4438 1.0682 0.0814 0.3848
35–39 −3.1487 1.1071 0.0637 0.2829 −3.4198 0.9620 0.0714 0.3779
40–44 −3.2690 0.9339 0.0533 0.2246 −3.3829 0.8337 0.0609 0.3530
45–49 −3.5202 0.6642 0.0289 0.1774 −3.4456 0.6039 0.0362 0.3060
50–54 −3.4076 0.5556 0.0208 0.1429 −3.4217 0.4001 0.0138 0.2564
55–59 −3.2587 0.4461 0.0101 0.1190 −3.4144 0.1760 −0.0128 0.2017
60–64 −2.8907 0.3988 0.0042 0.0807 −3.1402 0.0921 −0.0216 0.1616
65–69 −2.6608 0.2591 −0.0135 0.0571 −2.8565 0.0217 −0.0283 0.1216
70–74 −2.2949 0.1759 −0.0229 0.0295 −2.4114 0.0388 −0.0235 0.0864
75–79 −2.0414 0.0481 −0.0354 0.0114 −2.0411 0.0093 −0.0252 0.0537
80–84 −1.7308 −0.0064 −0.0347 0.0033 −1.6456 0.0085 −0.0221 0.0316
85–89 −1.4473 −0.0531 −0.0327 0.0040 −1.3203 −0.0183 −0.0219 0.0061
90–94 −1.1582 −0.0617 −0.0259 0.0000 −1.0368 −0.0314 −0.0184 0.0000
95–99 −0.8655 −0.0598 −0.0198 0.0000 −0.7310 −0.0170 −0.0133 0.0000
100–104 −0.6294 −0.0513 −0.0134 0.0000 −0.5024 −0.0081 −0.0086 0.0000
105–109 −0.4282 −0.0341 −0.0075 0.0000 −0.3275 0.0001 −0.0048 0.0000
110+ −0.2966 −0.0229 −0.0041 0.0000 −0.2212 0.0028 −0.0027 0.0000
Notes:
  1. Estimated coefficients shown here were derived using the bi-weight method (see Appendix).
  2. There are no estimated coefficients for ages 1–4 by design. Since 5q0 is an input to the model, the age group 1–4 is excluded when fitting the model. After using the model to estimate mortality for age 0, we derive the mortality level for ages 1–4 as a residual component of 5q0. This procedure assures that the input and output values of 5q0 are identical.

Source: Authors’ calculations using data as summarized in Table 1a