The maximum entropy approach to inverse problems - spectral analysis of short data records and density structure of the Earth
Item
Title (Dublin Core)
en-US
The maximum entropy approach to inverse problems - spectral analysis of short data records and density structure of the Earth
Description (Dublin Core)
en-US
The maximum entropy principle as described in the first, introductory part of the paper is applied to 2 problems: the estimation of the power spectrum from a finite number of values of the autocovariance function, and the determination of the density within the Earth from its mass, radius, and moment of inertia. In both cases the available information is given in terms of known values of linear functionals and the maximum entropy principle is used to derive a probability distribution for the values of the unknown function. The expectation value of the probability distribution for the spectral power is shown to be equal to the well-known maximum entropy power spectrum. The expectation value for the density within the Earth is in ― with respect to the few data used ― good agreement with that of accepted Earth models.
ARK: https://n2t.net/ark:/88439/y025164
Permalink: https://geophysicsjournal.com/article/87
ARK: https://n2t.net/ark:/88439/y025164
Permalink: https://geophysicsjournal.com/article/87
Creator (Dublin Core)
Rietsch, E.
Subject (Dublin Core)
en-US
Maximum entropy
en-US
Probability distribution
en-US
Inverse problem
en-US
Power spectrum
en-US
Density
en-US
Earth
en-US
Methods
Publisher (Dublin Core)
en-US
Journal of Geophysics
Date (Dublin Core)
1976-04-08
Type (Dublin Core)
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
en-US
Peer-reviewed Article
Format (Dublin Core)
application/pdf
Identifier (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/87
Source (Dublin Core)
en-US
Journal of Geophysics; Vol 42 No 1 (1976): Journal of Geophysics; 489-506
2643-2986
2643-9271
Language (Dublin Core)
eng
Relation (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/87/48