Maximum Entropy in Action

A Collection of Expository Essays

Häftad, Engelska, 1991

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The Maximum Entropy Method and the related Bayesian Probability Theory have recently become somewhat better known to research workers; but the power of these methods to resolve the true structures underlying many kinds of data is still not as widely recognized as it ought to be. This book is the first readily available account of such methods. It grew out of a series of interdisciplinary seminars, organized by the editors, and given by leading proponents of maximum entropy techniques in the UK. The written versions are intended to introduce the reader to the principles of probability theory, viewed as the logic of inference, and to explain the role that entropy plays in the assignment of probabilities. The chapters concerned with applications show how the resulting algorithms can be implemented and how they work out in practice. In addition, new light is shed upon the relation between statistical and dynamical theories in physics, and on the confusion which surrounds the Second Law of Thermodynamics.

Produktinformation

Utgivningsdatum1991-08-08
Mått155 x 232 x 15 mm
Vikt389 g
FormatHäftad
SpråkEngelska
Antal sidor248
FörlagOUP OXFORD
ISBN9780198539636

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Matematisk statistik inom Naturvetenskap och teknik

Preface; Editors' introduction; About the authors; G.J. Daniell: Of maps and monkeys - an introduction to the maximum entropy method; J. Skilling: Fundamentals of MaxEnt in data analysis; P.J. Hore: Maximum entropy and nuclear magnetic resonance; S. Davies, K.J. Packer, A. Baruya, & A.I. Grant: Enhanced information recovery in spectroscopy using the maximum entropy method; G.A. Cottrell: Maximum entropy and plasma physics; A.J.M. Garrett: Macroreversibility and microreversibility reconciled - the second law; S.F. Gull: Some misconceptions about entropy; G. Bricogne: The X-ray crystallographic phase problem; Index.

'the book is quite up-to-date ... generally very positive impression given by this book, which includes research results extending up to 1991 ... This fascinating universal concept opens up many new possibilities for the analysis of spectra, images, and X-ray scattering data. Because of the wide range of aspects covered in this book, it can be thoroughly recommended.'Christian Griesinger, Institut für Organische Chemie der Universität Frankfurt/Main, Angewandte Chemie, 31/7, 1992