Asymptotically normal families of distributions and efficient estimation

DOI10.1214/aos/1176348367zbMath0760.62043OpenAlexW2014667970MaRDI QIDQ1184200

I. A. Ibragimov, Rafail Z. Khasminskii

Publication date: 28 June 1992

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176348367

zbMATH Keywords

local asymptotic normalitysemiparametric estimationlower boundsconvolution theoremHilbert-valued functionnormal spaceasymptotically efficient estimatorsaccuracy of estimatesasymptotic minimax boundGaussian white-noise estimationinfinite-dimensional estimation problemsnew definition of LANsmooth infinite-dimensional manifold

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

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