A lower bound for the Mismatched Maximum Likelihood estimator

Stefano Fortunati, Maria S. Greco, Fulvio Gini

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A lower bound on Mean Square Error (MSE) of the estimate of a real deterministic parameter vector under misspecified model is proposed in this paper. In particular, a lower bound on the MSE of the Mismatched Maximum Likelihood (MML) estimator is derived in closed form and its relation with the Huber limit is investigated. Two simple illustrative examples are provided. Finally, the proposed framework is applied to the estimation of the scatter matrix in the Complex Elliptically Symmetric (CES) distribution family.

Original languageEnglish
Title of host publication2015 IEEE International Radar Conference, RadarCon 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages180-185
Number of pages6
EditionJune
ISBN (Electronic)9781479982325
DOIs
Publication statusPublished - 22 Jun 2015
Externally publishedYes
Event2015 IEEE International Radar Conference, RadarCon 2015 - Arlington, United States
Duration: 10 May 201515 May 2015

Publication series

NameIEEE National Radar Conference - Proceedings
NumberJune
Volume2015-June
ISSN (Print)1097-5659

Conference

Conference2015 IEEE International Radar Conference, RadarCon 2015
Country/TerritoryUnited States
CityArlington
Period10/05/1515/05/15

Keywords

  • CRLB
  • Huber limit
  • Lower bound
  • ML estimator
  • misspecified model
  • parameter estimation

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