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Semiparametric Slepian-Bangs Formula for Complex Elliptically Symmetric Distributions

Signal Processing 2019-02-26 v2

Abstract

This letter aims at deriving a Semiparametric Slepian-Bangs (SSB) formula for Complex Elliptically Symmetric (CES) distributed data vectors. The Semiparametric Cram\'{e}r-Rao Bound (SCRB), related to the proposed SSB formula, provides a lower bound on the Mean Square Error (MSE) of \textit{any} robust estimator of a parameter vector parameterizing the mean vector and the scatter matrix of the given CES-distributed vector in the presence of an unknown, nuisance, density generator.

Cite

@article{arxiv.1807.08936,
  title  = {Semiparametric Slepian-Bangs Formula for Complex Elliptically Symmetric Distributions},
  author = {Stefano Fortunati and Abdelhak M. Zoubir and Fulvio Gini and Maria S. Greco},
  journal= {arXiv preprint arXiv:1807.08936},
  year   = {2019}
}

Comments

This letter has been merged with another letter and resubmitted as a full IEEE TSP paper

R2 v1 2026-06-23T03:11:59.549Z