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Geometrical Foundations of Asymptotic Inference [1997]

1
Overview and Preliminaries
11
First‐Order Asymptotics
61
Second‐Order Asymptotics
95
Extensions of Results from the One‐Parameter Case
113
Exponential Family Regression and Diagnostics
144
Curvature in Exponential Family Regression
173
Information‐Metric Riemannian Geometry
215
Statistical Manifolds
238
Divergence Functions
278
Recent Developments
300
Appendix A: Diffeomorphisms and the Inverse Function Theorem
303
Appendix B: Arclength and Curvature of Curves
309
Appendix C: Basic Concepts in Differential Geometry
337
Appendix D: A Coordinate‐Free Definition of Weak Sphericity
340
References
349
Symbol Index
351
Index
357
Wiley Series in Probability and Statistics
i
Front Matter
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