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Generalizations of ancillarity, completeness and sufficiency in an inference function space

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Publication:1825552
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DOI10.1214/aos/1176350819zbMath0684.62012OpenAlexW2055347366MaRDI QIDQ1825552

Christopher G. Small, Donald L. McLeish

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1214/aos/1176350819


zbMATH Keywords

completenessnuisance parameterRao-Blackwell theoremestimating functionsufficiencyscore functionlocal sufficiencyinference functionsE-ancillaritycomplete E-sufficiencycomplete sufficiency


Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Sufficient statistics and fields (62B05) Sufficiency and information (62B99)


Related Items (6)

A characterization of Morris family of distributions with the help of estimating functions ⋮ A geometric optimally of Cox's partial likelihood ⋮ Optimal estimating functions, quasi-likelihood and statistical modelling ⋮ Empirical likelihood method for non-ignorable missing data problems ⋮ Projection‐Based Inference in Randomised Clinical Trials ⋮ Orthogonal projections and the geometry of estimating functions.




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