Differential Geometry and Statistics

M.K. Murray, J.W. Rice (Autoren)

Buch | Hardcover

288 Seiten

1993
Chapman & Hall/CRC (Verlag)
978-0-412-39860-5 (ISBN)

Infos

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.

Autor

M.K. Murray

Inhalt

1. The geometry of exponential families 2. Calculus on manifolds 3. Statistical Manifolds 4. Connections 5. Curvature 6. Information metrics and statistical divergences 7. Asymptotics 8. Bundles and tensors 9. Higher-order geometry

Produkt-Details

• Erscheint lt. Verlag: 1.4.1993
• Reihe/Serie: Chapman & Hall/CRC Monographs on Statistics and Applied Probability
• Sprache: englisch
• Maße: 152 x 229 mm
• Gewicht: 560 g
• Einbandart: Paperback
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• ISBN-10: 0-412-39860-5 / 0412398605
• ISBN-13: 978-0-412-39860-5 / 9780412398605
• Zustand: Neuware