The exponential rise of mortality with age, the classic adult and old-age law. The hazard is unbounded, so fit it over the adult ages.
Examples
gompertz(x = 45:90)
#> $hx
#> [1] 0.06944688 0.07908807 0.09006774 0.10257170 0.11681157 0.13302833
#> [7] 0.15149643 0.17252844 0.19648028 0.22375732 0.25482119 0.29019761
#> [13] 0.33048527 0.37636601 0.42861629 0.48812040 0.55588536 0.63305803
#> [19] 0.72094445 0.82103200 0.93501455 1.06482111 1.21264850 1.38099853
#> [25] 1.57272032 1.79105854 2.03970830 2.32287771 2.64535907 3.01260999
#> [31] 3.43084576 3.90714453 4.44956709 5.06729330 5.77077743 6.57192513
#> [37] 7.48429488 8.52332743 9.70660720 11.05415979 12.58879092 14.33647241
#> [43] 16.32678170 18.59340241 21.17469441 24.11434300
#>
#> $par
#> A B
#> 0.0002 0.1300
#>
#> $Sx
#> [1] 5.870365e-01 5.450753e-01 5.009293e-01 4.549924e-01 4.077863e-01
#> [6] 3.599622e-01 3.122913e-01 2.656426e-01 2.209435e-01 1.791249e-01
#> [11] 1.410523e-01 1.074477e-01 7.881469e-02 5.537735e-02 3.704915e-02
#> [16] 2.344182e-02 1.391897e-02 7.687661e-03 3.910117e-03 1.810608e-03
#> [21] 7.534250e-04 2.775823e-04 8.903091e-05 2.438537e-05 5.580065e-06
#> [26] 1.040473e-06 1.536597e-07 1.740077e-08 1.456285e-09 8.636967e-11
#> [31] 3.460587e-12 8.870861e-14 1.367352e-15 1.180934e-17 5.273238e-20
#> [36] 1.110866e-22 9.946809e-26 3.361707e-29 3.745808e-33 1.179615e-37
#> [41] 8.809619e-43 1.277706e-48 2.866495e-55 7.676985e-63 1.827256e-71
#> [46] 2.762082e-81
#>