FA-71492 / Seismic magnitude estimation / Member archive

Aki maximum-likelihood b-value: completeness filter · case 02

Events exactly at the completeness magnitude are dropped and b is biased low.

Member previewVariant 2 · 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 4	`[0.31, 6, 0.127]`	`[0.36, 7, 0.136]`	Failed

MEMBER ARCHIVE

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