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The misspecified Cram´ er-Rao bound and its application to scatter matrix estimation in co mplex ellip- tically symmetric distributions,

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Revisiting the Misspecified Cram\'er-Rao Bound

math.ST · 2026-05-20 · conditional · novelty 7.0

New constructive derivation of the misspecified Cramér-Rao bound via maximization of a naive bound over pointwise equivalent models, with explicit estimator-class characterization and proof that the misspecified ML estimator is efficient if it exists.

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  • Revisiting the Misspecified Cram\'er-Rao Bound math.ST · 2026-05-20 · conditional · none · ref 33

    New constructive derivation of the misspecified Cramér-Rao bound via maximization of a naive bound over pointwise equivalent models, with explicit estimator-class characterization and proof that the misspecified ML estimator is efficient if it exists.