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Softening a hard quadratic bound to a prior pdf - an example from geomagnetism

Sambridge, Malcolm; Jackson, Andrew

Description

We discuss the problem of softening a hard quadratic bound to generate a personal prior probability distribution. The quadratic bound requires the model vector to live within a hyperspherical volume. Prior information suggests we may work in a finite-dimensional space, thus avoiding the known difficulties associated with infinite-dimensional spaces, and that values of the Euclidean 2-norm within the volume are uniformly distributed. The application is to the estimation of the magnetic field at...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Conference paper
URI: http://hdl.handle.net/1885/84395
Source: Bayesian Inference and Maximum Entropy Methods in Science and Engineering
DOI: 10.1063/1.2149831

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