Differential Geometry and Statistics

1st Edition

M.K. Murray, J.W. Rice

Chapman and Hall/CRC
Published April 1, 1993
Reference - 288 Pages
ISBN 9780412398605 - CAT# C9860
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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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.