Open AccessAre different M = a + bI0 relationships due to a statistical bias?
Author(s) -
Marco Mucciarelli
Publication year - 1998
Publication title -
annals of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 60
eISSN - 2037-416X
pISSN - 1593-5213
DOI - 10.4401/ag-3789
Subject(s) - observable , metric (unit) , intensity (physics) , correlation , magnitude (astronomy) , statistical physics , phenomenon , sampling (signal processing) , statistics , econometrics , variable (mathematics) , mathematics , physics , mathematical analysis , optics , economics , geometry , quantum mechanics , astrophysics , operations management , detector
Relationships between magnitude and macroseismic intensity are widely used, even though intensity is a non-metric observable. Several proposed relationships for the Italian and surrounding regions show a significant correlation of the parameters of the widely used functional form M = a + bI0 This could suggest either the common dependence on a third variable or that the different proposed relationships are due to a pivotal phenomenon around average values, mainly driven by data sampling and uncertainties. Synthetic simulations lend support to the last hypothesis