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zbMath0694.62001MaRDI QIDQ3995194
Robert E. Kass, Shun-ichi Amari, Ole Eiler Barndorff-Nielsen, Steffen L. Lauritzen, C. Radhakrishna Rao
Publication date: 17 September 1992
Full work available at URL: https://projecteuclid.org/euclid.lnms/1215467056#toc
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invarianceexpansionexponential familiesStatistical inferenceGeometryLie groupscurvatureinformation metricmaximum likelihood estimatorFisher information matrixconditional densityfoliationsreviewShannon entropyTaylor expansionsstructural parametermeasure of diversitysufficiencyancillarityloss of informationlikelihood principlegeodesic distancesefficient estimatorsminimal sufficient statisticgenetic diversitystationary Gaussian time seriestransformation modelsDifferential geometryalpha-connectionsasymptotic sufficiencyquadratic entropycoordinate-freeinfinitely many nuisance parametersinverse Gaussian modelobserved geometrysymmetric connectionabstract statistical manifoldauxiliary statisticdensity-likelihood formulafibre-bundle approachhigher-order asymptotic theory of statistical inferenceHilbert bundle theorynon-Riemannian connectionRiemannian metrics on probability spacestwo parameter gamma modelunivariate Gaussian model
Proceedings, conferences, collections, etc. pertaining to statistics (62-06) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Local Riemannian geometry (53B20)
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