Differential geometry and statistics
Series: Monographs on statistics and applied probability ; 48Publication details: Boca Raton Chapman and Hall 1993Description: xiii, 273 pISBN:- 9780412398605
- 519.5
Item type | Current library | Item location | Shelving location | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Books | Vikram Sarabhai Library | Rack 28-B / Slot 1415 (0 Floor, East Wing) | General Stacks | 519.5 M8D4 (Browse shelf(Opens below)) | Available | 166449 |
This book aims to fill this gap. The authors bring to the book extensive research experience in differential geometry and its application to statistics. The book commences with the study of the simplest differential manifolds - affine spaces and their relevance to exponential families and passes into the general theory, the Fisher information metric, the Amari connection and asymptotics. It culminates in the theory of the vector bundles, principle bundles and jets and their application to the theory of strings - a topic presently at the cutting edge of research in statistics and differential geometry.
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