Approximate distributions for maximum likelihood and maximum a posteriori estimates under a gaussian noise model

Craig K. Abbey, Eric Clarkson, Harrison H. Barrett, Stefan P. Müller, Frank J. Rybicki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

The performance of Maximum Likelihood (ML) and Max­imum a posteriori (MAP) estimates in nonlinear problems at low data SNR is not well predicted by the Cramér-Rao or other lower bounds on variance. In order to better characterize the distribution of ML and MAP estimates under these conditions, we derive an approximate density for the conditional distribution of such estimates. In one example, this ap­proximate distribution captures the essential features of the distribution of ML and MAP estimates in the presence of Gaussian-distributed noise.

Original languageEnglish (US)
Title of host publicationInformation Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings
EditorsJames Duncan, Gene Gindi
PublisherSpringer-Verlag
Pages167-175
Number of pages9
ISBN (Print)3540630465, 9783540630463
DOIs
StatePublished - 1997
Event15th International Conference on Information Processing in Medical Imaging, IPMI 1997 - Poultney, United States
Duration: Jun 9 1997Jun 13 1997

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1230
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other15th International Conference on Information Processing in Medical Imaging, IPMI 1997
CountryUnited States
CityPoultney
Period6/9/976/13/97

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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    Abbey, C. K., Clarkson, E., Barrett, H. H., Müller, S. P., & Rybicki, F. J. (1997). Approximate distributions for maximum likelihood and maximum a posteriori estimates under a gaussian noise model. In J. Duncan, & G. Gindi (Eds.), Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings (pp. 167-175). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1230). Springer-Verlag. https://doi.org/10.1007/3-540-63046-5_13