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Geometrical Foundations of Asymptotic Inference [1997]
- 1
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Overview and Preliminaries
- 11
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First‐Order Asymptotics
- 61
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Second‐Order Asymptotics
- 95
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Extensions of Results from the One‐Parameter Case
- 113
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Exponential Family Regression and Diagnostics
- 144
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Curvature in Exponential Family Regression
- 173
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Information‐Metric Riemannian Geometry
- 215
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Statistical Manifolds
- 238
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Divergence Functions
- 278
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Recent Developments
- 300
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Appendix A: Diffeomorphisms and the Inverse Function Theorem
- 303
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Appendix B: Arclength and Curvature of Curves
- 309
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Appendix C: Basic Concepts in Differential Geometry
- 337
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Appendix D: A Coordinate‐Free Definition of Weak Sphericity
- 340
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References
- 349
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Symbol Index
- 351
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Index
- 357
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Wiley Series in Probability and Statistics
- i
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Front Matter