Geometrical Foundations of Asymptotic InferenceISBN: 978-0-471-82668-2
Hardcover
376 pages
July 1997
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Overview and Preliminaries.
ONE-PARAMETER CURVED EXPONENTIAL FAMILIES.
First-Order Asymptotics.
Second-Order Asymptotics.
MULTIPARAMETER CURVED EXPONENTIAL FAMILIES.
Extensions of Results from the One-Parameter Case.
Exponential Family Regression and Diagnostics.
Curvature in Exponential Family Regression.
DIFFERENTIAL-GEOMETRIC METHODS.
Information-Metric Riemannian Geometry.
Statistical Manifolds.
Divergence Functions.
Recent Developments.
Appendices.
References.
Indexes.
ONE-PARAMETER CURVED EXPONENTIAL FAMILIES.
First-Order Asymptotics.
Second-Order Asymptotics.
MULTIPARAMETER CURVED EXPONENTIAL FAMILIES.
Extensions of Results from the One-Parameter Case.
Exponential Family Regression and Diagnostics.
Curvature in Exponential Family Regression.
DIFFERENTIAL-GEOMETRIC METHODS.
Information-Metric Riemannian Geometry.
Statistical Manifolds.
Divergence Functions.
Recent Developments.
Appendices.
References.
Indexes.
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