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On local asymptotic minimaxity and admissibility in robust estimation

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Publication:1172349
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DOI10.1214/aos/1176345393zbMath0501.62023OpenAlexW1973049746MaRDI QIDQ1172349

Helmut Rieder

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1214/aos/1176345393


zbMATH Keywords

regular estimatorscontiguitysuperefficiencyrobust estimationlocal asymptotic minimax boundlocal asymptotic admissibilityasymptotic expansion in terms of truncated logarithmic derivativeleast favorable pairs


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Robustness and adaptive procedures (parametric inference) (62F35) Minimax procedures in statistical decision theory (62C20) Admissibility in statistical decision theory (62C15)


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A Note on Asymptotic Expansions of Logarithms of Likelihood Ratios of Least Favourable Distributions ⋮ A robust asymptotic testing model for special capacities ⋮ A characterization of the neighborhoods defined by certain special capacities and their applications to bias-robustness of estimates. ⋮ Contamination games in a robust k–sample model ⋮ On solutions of minimax test problems for special capacities



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