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- catalog abstract "The book gives an account of the mathematical-statistical theory of the main classes of parametric statistical models, i.e. transformatioon models and exponential models, and of likelihood based inference. The emphasis is on recent developments - various new results are presented - and the mathematical techniques employed include parts of the theory of group actions and invariant measures, differential geometry, and asymptotic analysis. A knowledge of these techniques is not presupposed but will be helpful, as the exposition is partly quite succinct. A basic knowledge of classic parametric statistical inference is however assumed. Exactness results and high-order asymptotic results for important likelihood quantities, including maximum likelihood estimators, score vectors, (signed) likelihood ratios and (modified) profile likelihoods, are discussed. Concepts of ancillarity and sufficiency enter prominently.".
- catalog alternative "École d'été de probabilités de Saint-Flour.".
- catalog contributor b2278471.
- catalog created "1988".
- catalog date "1988".
- catalog dateCopyrighted "1988".
- catalog description "Bibliography: p. 262-267.".
- catalog description "Contents: Introduction -- Likelihood and auxiliary statistics -- Transformation models and exponential models -- Reparametrizations and differential geometry -- Inferential and geometric structures -- Cumulants -- Laplace's method, Edgeworth and saddle-point approximations -- Distributions of likelihood quantities -- Appendices -- References -- Subject Index.".
- catalog description "The book gives an account of the mathematical-statistical theory of the main classes of parametric statistical models, i.e. transformatioon models and exponential models, and of likelihood based inference. The emphasis is on recent developments - various new results are presented - and the mathematical techniques employed include parts of the theory of group actions and invariant measures, differential geometry, and asymptotic analysis. A knowledge of these techniques is not presupposed but will be helpful, as the exposition is partly quite succinct. A basic knowledge of classic parametric statistical inference is however assumed. Exactness results and high-order asymptotic results for important likelihood quantities, including maximum likelihood estimators, score vectors, (signed) likelihood ratios and (modified) profile likelihoods, are discussed. Concepts of ancillarity and sufficiency enter prominently.".
- catalog extent "vii, 276 p. ;".
- catalog hasFormat "Parametric statistical models and likelihood.".
- catalog identifier "0387969284".
- catalog identifier "3540969284".
- catalog isFormatOf "Parametric statistical models and likelihood.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 50.".
- catalog isPartOf "Lecture notes in statistics ; 50".
- catalog issued "1988".
- catalog language "eng".
- catalog publisher "Heidelberg : Springer-Verlag,".
- catalog relation "Parametric statistical models and likelihood.".
- catalog subject "Mathematical statistics.".
- catalog subject "Parametric devices.".
- catalog subject "QA276 .B28474 1988".
- catalog subject "Statistics.".
- catalog tableOfContents "Contents: Introduction -- Likelihood and auxiliary statistics -- Transformation models and exponential models -- Reparametrizations and differential geometry -- Inferential and geometric structures -- Cumulants -- Laplace's method, Edgeworth and saddle-point approximations -- Distributions of likelihood quantities -- Appendices -- References -- Subject Index.".
- catalog title "Parametric statistical models and likelihood / Ole E. Barndorff-Nielsen.".
- catalog type "text".