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On the attainment of the Cramér-Rao bound in \({\mathbb{L}}_ r\)- differentiable families of distributions

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Publication:909381
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DOI10.1214/aos/1176347392zbMath0694.62012OpenAlexW2068216817MaRDI QIDQ909381

Ulrich Müller-Funk, Friedrich Pukelsheim, Hermann Witting

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1214/aos/1176347392


zbMATH Keywords

exponential familyglobal attainment of the Cramér-Rao boundparametric familiesregular experimentsroot of the likelihood ratiostrong differentiability


Mathematics Subject Classification ID

Point estimation (62F10)


Related Items (3)

Sample quantiles and additive statistics: Information, sufficiency, estimation ⋮ Multivariate Cramér-Rao inequality for prediction and efficient predictors ⋮ A nonparametric Cramér-Rao inequality for estimators of statistical functionals.







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