FA-71508 / Seismic magnitude estimation / Member archive
Aki maximum-likelihood b-value: minimum event count · case 03
A single event above Mc produces a b-value.
Case contract
Magnitudes, completeness and bin width in tenths. Use events with M >= Mc; fewer than 2 returns None. b = log10(e) / (mean(M) - (Mc - dM/2)); non-positive denominator returns None. Return [b rounded 0.001, n, sigma = b/sqrt(n) rounded 0.001].
Why this case matters
Gutenberg-Richter b-values feed hazard rates and foreshock studies.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| catalogue 14 | [8.686, 1, 8.686] | null | Failed |
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