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 |
- Estimated coefficients shown here were derived using the bi-weight method (see Appendix).
- 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