Yokes and tensors derived from yokes

DOI10.1007/BF00116471zbMath0782.62007OpenAlexW1557948059MaRDI QIDQ1207616

Preben Blæsild

Publication date: 1 April 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00116471

zbMATH Keywords

contrast functionsstatistical modelexponential familystatistical manifoldintertwiningBartlett adjustment factorobserved geometriesderivative stringsalpha geometriesyokesexpected geometriestensorial components

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Differential geometric aspects in vector and tensor analysis (53A45) Local differential geometry (53B99)

Related Items (10)

Stochastic calculus, statistical asymptotics, Taylor strings and phyla ⋮ Lifting statistical structures ⋮ The geometric structure of the expected/observed likelihood expansions ⋮ Yokes and symplectic structures ⋮ Statistics, yokes and symplectic geometry ⋮ Discussion: One-step sparse estimates in nonconcave penalized likelihood models: Who cares if it is a white cat or a black cat? ⋮ Geometrical expansions for the distributions of the score vector and the maximum likelihood estimator ⋮ Yokes and tensors derived from yokes ⋮ Generalized higher-order differentiation ⋮ Lie groupoids in information geometry

Cites Work

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• A differential geometric approach to statistical inference on the basis of contrast functionals
• Differential geometry of Edgeworth expansions in curved exponential family
• Second order efficiency of minimum contrast estimators in a curved exponential family
• Likelihood and observed geometries
• Coordinate-free definition of structurally symmetric derivative strings
• Yokes and tensors derived from yokes
• The geometry of asymptotic inference. With comments and a rejoinder by the author
• Parametric statistical models and likelihood
• Invariants and likelihood ratio statistics
• Differential-geometrical methods in statistics
• Strings: mathematical theory and statistical examples
• Strings, tensorial combinants, and Bartlett adjustments
• Derivative strings: contravariant aspect

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