Maximum likelihood estimation in linear models with a Gaussian model matrix

Ami Wiesel*, Yonica C. Eldar, Amir Beck

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

We consider the problem of estimating an unknown deterministic parameter vector in a linear model with a Gaussian model matrix. We derive the maximum likelihood (ML) estimator for this problem and show that it can be found using a simple line-search over a unimodal function that can be efficiently evaluated. We then discuss the similarity between the ML, the total least squares (TLS), the regularized TLS, and the expected least squares estimators.

Original languageEnglish
Pages (from-to)292-295
Number of pages4
JournalIEEE Signal Processing Letters
Volume13
Issue number5
DOIs
StatePublished - May 2006
Externally publishedYes

Funding

FundersFunder number
Sixth Framework Programme
Israel Science Foundation

    Keywords

    • Errors in variables (EIV)
    • Linear models
    • Maximum likelihood (ML) estimation
    • Random model matrix
    • Total least squares (TLS)

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