FA-63644 / Actuarial life tables / Member archive

Gompertz-Makeham survival: Gompertz integral omits the log of c · case 04

Survival probabilities are far too high.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Input A, B, c, age, t (floats). B<0, c<1 or A<=-B -> 'invalid parameters'. Cumulative hazard H = A t + B c^x (c^t-1)/ln c (c=1: (A+B) t). Return [exp(-H), mu at x+t = A + B c^(x+t)] rounded to 8.

Why this case matters

Life-table arithmetic compounds across ages, so one misplaced index or assumption shifts every downstream value.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
makeham 0	`[0.99920758, 0.00172012]`	`[0.99832839, 0.00172012]`	Failed

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