Differential Geometry and Statistics
โ Scribed by Michael K. Murray, John W. Rice (auth.)
- Publisher
- Springer US
- Year
- 1993
- Tongue
- English
- Leaves
- 285
- Series
- Monographs on Statistics and Applied Probability
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Front Matter....Pages i-xiii
The geometry of exponential families....Pages 1-24
Calculus on manifolds....Pages 25-62
Statistical manifolds....Pages 63-96
Connections....Pages 97-131
Curvature....Pages 132-156
Information metrics and statistical divergences....Pages 157-193
Asymptotics....Pages 194-222
Bundles and tensors....Pages 223-242
Higher-order geometry....Pages 243-263
Back Matter....Pages 264-272
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<p>Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals, microemulsions, biological matter, polymer mixtures and composites, vycor glasses, and zeolites. In