Error Bounds in Maximum Entropy Approximations
Document Type
Article
Publication Date
12-1-1993
Department
Physics and Astronomy
School
Mathematics and Natural Sciences
Abstract
A useful technique in underdetermined inverse problems is that of maximum entropy. A simple error bound for averages over a distribution approximated by the maximum entropy method in the case of the undetermined Hausdorff moment problem was devised. Under the conditions specified, the error bound for averages over such an approximate distribution can be very tight. Numerical examples to illustrate are presented.
Publication Title
Journal of Mathematical Physics
Volume
34
Issue
12
First Page
6009
Last Page
6015
Recommended Citation
Leaseburg, M. J.,
Mead, L. R.
(1993). Error Bounds in Maximum Entropy Approximations. Journal of Mathematical Physics, 34(12), 6009-6015.
Available at: https://aquila.usm.edu/fac_pubs/6695