Exponential models with affine dual foliations

DOI10.1214/aos/1176346243zbMath0529.62015OpenAlexW2086662684MaRDI QIDQ787612

Ole Eiler Barndorff-Nielsen, Preben Blæsild

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1214/aos/1176346243

zbMATH Keywords

independencedualitymaximum likelihood estimatorsprofile likelihoodexpected informationcutsobserved informationpivotslinear hypothesisaffine dual foliationsexponential modelscanonical parallelismLegendre transformslikelihood independencemean parallelismmixed parametrisationsS-ancillarityS-sufficiency

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15) Parametric inference (62F99) Foliations (differential geometric aspects) (53C12)

Related Items (8)

Maximum likelihood estimation in exponential orthogeodesic models ⋮ On a property of strongly reproductive exponential families on \({\mathbb{R}}\) ⋮ Asymptotic properties of conditional maximum likelihood estimator in a certain exponential model ⋮ Geometry and applied statistics ⋮ Reference priors for exponential families with simple quadratic variance function ⋮ Exponential models, brownian motion, and independence ⋮ A modified iterative proportional scaling algorithm for estimation in regular exponential families ⋮ Reference priors for exponential families

This page was built for publication: Exponential models with affine dual foliations