FA-63708 / Actuarial life tables / Member archive

Abridged period life table: Life expectancy omits the open interval · case 03

e0 is understated by the open-interval person-years.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input groups [[width n (None = open), deaths, population (<=0 -> 'invalid population'), nax as [num, den] years]]. m = deaths/pop; closed nqx = min(1, n m/(1+(n-a) m)), nLx = n l_{x+n} + a d; open q=1, L = l/m (m=0 -> 'open interval without deaths'). Radix 100000. Return [q list rounded 6, e0 = sum L / radix rounded 4].

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
standard abridged	`[[0.004096, 0.000757, 0.005451, 0.005958, 0.06221, 1.0], 24.2906]`	`[[0.004096, 0.000757, 0.005451, 0.005958, 0.06221, 1.0], 32.5039]`	Failed

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