Beyond chi-squared: Additional measures of the closeness of a model to data. Issue 1 (1st December 2019)

• Record Type: Journal Article
• Authors: Jones, Alan G.
• Is Part Of: ASEG Extended Abstracts (Online). Volume 2019:Issue 1(2019)
• Page Start: 1
• Page End: 6
• Publication Date: 2019-12-01
• Subjects: Inversion -- minimization -- objective function; Prospecting -- Geophysical methods -- Periodicals; Prospecting -- Geophysical methods; Periodicals
• DOI: 10.1080/22020586.2019.12072970
• Languages: English
• ISSNs: 2202-0586

Abstract

Summary: Subtle, and not so subtle, features in our increasingly large and complex datasets are being missed because of our reliance on a single number, typically chi-squared based, to describe the distance between a plausible model and the data. Additional measures need to be used. Here I propose that the autocorrelations of the residuals between the data and the model responses be minimized as part of the objective function during inversion. I demonstrate the use on a toy example and three 1D magnetotelluric examples, one a synthetic "impossible" problem and two real ones.