FA-71500 / Seismic magnitude estimation / Member archive

Aki maximum-likelihood b-value: binning correction · case 05

b-values are systematically too high for binned catalogues.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

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 fixture

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

Boundary fixture	Actual	Expected	Outcome
catalogue 15	`[0.418, 10, 0.132]`	`[0.398, 10, 0.126]`	Failed

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