Complete order statistics in parametric models

DOI10.1214/aos/1032526968zbMath0880.62009OpenAlexW1970535853MaRDI QIDQ1816984

Lutz Mattner

Publication date: 5 February 1998

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

Full work available at URL: https://doi.org/10.1214/aos/1032526968

zbMATH Keywords

asymptotic efficiencycontamination modelminimal sufficiencyoptimal unbiased estimationi.i.d. modelnonparametric neighborhoodssymmetrical completenessUMVU unimodality

Mathematics Subject Classification ID

Point estimation (62F10) Foundations and philosophical topics in statistics (62A01) Order statistics; empirical distribution functions (62G30) Sufficient statistics and fields (62B05)

Related Items (5)

Examples of \(L^2\)-complete and boundedly-complete distributions ⋮ Partially Complete Sufficient Statistics Are Jointly Complete ⋮ Bayes-optimal prediction with frequentist coverage control ⋮ Minimal sufficiency of order statistics in convex models ⋮ NONPARAMETRIC IDENTIFICATION USING INSTRUMENTAL VARIABLES: SUFFICIENT CONDITIONS FOR COMPLETENESS

Cites Work

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• Asymptotic efficiency of minimum variance unbiased estimators
• On optimal median unbiased estimators in the presence of nuisance parameters
• Some incomplete but boundedly complete location families
• On the Completeness of Order Statistics
• Least Squares and Best Unbiased Estimates
• Completeness of Order Statistics
• The Theory of Unbiased Estimation

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