Differential Geometry and Statistics
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A01=J.W. Rice
A01=M.K. Murray
affine
Affine Co-ordinate System
Affine Co-ordinates
Affine Space
Affine Subspaces
Author_J.W. Rice
Author_M.K. Murray
Category=PBMP
Category=PBMS
Category=PBT
Christoffel Symbols
Co-ordinate String
Constant Random Variables
Constant Vector Fields
Cotangent Bundle
curvature analysis
Curved Exponential Family
Einstein Summation Convention
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Family
exponential family models
Finite Dimensional Representation
higher-order asymptotic expansions in statistics
information geometry
John W. Rice
Levi Civita Connection
Local Co-ordinate Systems
Local Trivialisations
manifold calculus
Michael K. Murray
Ordinary Differential Equations
Principal Bundles
Riemannian Metric
space
statistical connections
system
tangent
Tangent Bundle
Tangent Space
Tangent Vectors
tensor bundles
Vector Bundle
Vector Fields
Vector Space
Product details
- ISBN 9780412398605
- Weight: 560g
- Dimensions: 152 x 229mm
- Publication Date: 01 Apr 1993
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This book explains why geometry should enter into parametric statistics and how the theory of asymptotic expansions involves a form of higher-order differential geometry. It gives some new explanations of geometric ideas from a first principles point of view as far as geometry is concerned.
