Parametric statistical models and likelihood

zbMath0691.62002MaRDI QIDQ1801224

Ole Eiler Barndorff-Nielsen

Publication date: 5 June 1993

Published in: Lecture Notes in Statistics (Search for Journal in Brave)

zbMATH Keywords

momentstransportinvariant measuresgroup actionsasymptotic expansionsEdgeworth expansionslikelihood ratio statisticsmaximum likelihood estimatorstringsfibre bundlesprofile likelihoodcovariant differentiationpartial sufficiencyintertwiningLaplace's methodtensorsconditional likelihoodmodified profile likelihoodscore vectorpseudo likelihoodgeometric measuresmultiarraystransformation modelsexponential modelsparametrization invarianceapproximately ancillary statisticscumulants of m-dimensional random variablesgeometry of parametric modelspartial ancillaritysaddle- point approximations

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Point estimation (62F10) Foundations and philosophical topics in statistics (62A01) Parametric inference (62F99) Differential geometric aspects in vector and tensor analysis (53A45) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Characterization and structure theory of statistical distributions (62E10) Global differential geometry (53C99) Asymptotic properties of parametric tests (62F05) Linear and affine connections (53B05) Classical differential geometry (53A99) Sufficient statistics and fields (62B05) Sufficiency and information (62B99)

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