FA-62990 / Insurance premium rating / Member archive
Square-root credibility rate indication: Zero-claim books are rejected · case 05
A book with no claims returns invalid instead of the complement.
Case contract
Input claims n, full_standard, observed and complement changes (per mille), cap. n<0 or full<=0 -> 'invalid'. Z (per mille) = min(1000, isqrt(n*10^6 // full)). Indication = floor((Z*obs+(1000-Z)*comp)/1000+1/2), then clamped to [-cap, cap]. Return [Z, indication].
Why this case matters
Credibility weighting decides how far a rate change follows thin experience versus the complement.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| zero claims uses complement | "invalid" | [0, 7] | Failed |
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