A differential geometric approach to statistical inference on the basis of contrast functionals

zbMath0625.62004MaRDI QIDQ579783

Shinto Eguchi

Publication date: 1985

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

explicit formulasconjugate metric structureconjugate pair of affine connectionscontrast functionalscovariance structure modelsgeneralized scoring methodlimiting information lossminimum contrast estimation methods

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Parametric inference (62F99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Statistical aspects of information-theoretic topics (62B10) Methods of local Riemannian geometry (53B21) Sufficiency and information (62B99)

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