zbMath0701.62008MaRDI QIDQ1188629
Shun-ichi Amari
Publication date: 17 September 1992
Published in: Lecture Notes in Statistics (Search for Journal in Brave)
Sensitivity analysis for Bayesian hierarchical models,
Probability distribution as a path and its action integral,
Dynamic quantile models,
Computing with Fisher geodesics and extended exponential families,
On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms,
Probing the information-probabilistic description,
Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements,
Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing,
Yokes and symplectic structures,
Dimension Reduction with Linear Discriminant Functions Based on an Odds Ratio Parameterization,
Intrinsic covariance matrix estimation for multivariate elliptical distributions,
Monotone metrics on matrix spaces,
On the curvature of the quantum state space with pull-back metrics,
Maximum likelihood estimators uniformly minimize distribution variance among distribution unbiased estimators in exponential families,
A decision-theoretical view of default priors,
Information geometry, Jordan algebras, and a coadjoint orbit-like construction,
Generalized estimators, slope, efficiency, and Fisher information bounds,
Complex-valued autoencoders,
Bayesian sensitivity analysis of a nonlinear dynamic factor analysis model with nonparametric prior and possible nonignorable missingness,
Wasserstein information matrix,
Decomposition of Kullback-Leibler risk and unbiasedness for parameter-free estimators,
Principles of classical statistical mechanics: a perspective from the notion of complementarity,
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Bayesian influence analysis of generalized partial linear mixed models for longitudinal data,
Flat connections and Wigner-Yanase-Dyson metrics,
Finsler space \(\mathcal F_{PD}\) of positive-definite type gives rise to a lenticular extension of Maxwell's distribution law,
Geometric aspects in extended approach of equilibrium classical fluctuation theory,
The role of differential equations in applied statistics,
Bayesian Influence Measures for Joint Models for Longitudinal and Survival Data,
Testing hypotheses in mixed linear models,
On the global geometry of parametric models and information recovery,
A statistical cohomogeneity one metric on the upper plane with constant negative curvature,
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The last formula of Jean-Louis Koszul,
Statistical manifolds and their submanifolds. Results on Chen-like invariants,
Bayesian local influence for survival models,
Typical Gaussian quantum information,
Conjugate predictive distributions and generalized entropies,
Invariant tests based onM-estimators, estimating functions, and the generalized method of moments,
On a general concept of forgetting,
Relevant Differential Topology in Statistical Manifolds,
Information geometric characterization of the complexity of fractional Brownian motions,
On parabolic geometry and irreversible macroscopic time
