The exponential statistical manifold: mean parameters, orthogonality and space transformations

DOI10.2307/3318699zbMath0947.62003OpenAlexW2020247984MaRDI QIDQ1304029

Giovanni Pistone, Maria Piera Rogantin

Publication date: 5 December 1999

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1171899326

zbMATH Keywords

exponential families submanifolds Orlicz spaces splitting orthogonality tangent space affine atlas exponential statistical manifolds Fisher information operator mean parameters regular parametrization

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Classical differential geometry (53A99) Affine differential geometry (53A15)

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