Information Measures

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160,49 

Information and its Description in Science and Engineering

ISBN: 3540416331
ISBN 13: 9783540416333
Autor: Arndt, Christoph
Verlag: Springer Verlag GmbH
Umfang: xix, 548 S.
Erscheinungsdatum: 27.03.2001
Produktform: Gebunden/Hardback
Einband: GEB

This book is an introduction to the mathematical description of information in science and engineering. The necessary mathematical theory will be treated in a more vivid way than in the usual theorem-proof structure. This enables the reader to develop an idea of the connections between different information measures and to understand the trains of thoughts in their derivation. As there exist a great number of different possible ways to describe information, these measures are presented in a coherent manner. Some examples of the information measures examined are: Shannon information, applied in coding theory; Akaike information criterion, used in system identification to determine auto-regressive models and in neural networks to identify the number of neu-rons; and Cramer-Rao bound or Fisher information, describing the minimal variances achieved by unbiased estimators. This softcover edition addresses researchers and students in electrical engineering, particularly in control and communications, physics, and applied mathematics.

Artikelnummer: 1506936 Kategorie:

Beschreibung

Inhaltsverzeichnis

Abstract.- Introduction.- Basic considerations.- Historic development of information theory.- The concept of entropy in physics.- Extension of Shannon''s information.- Generalized entropy measures.- Information functions and gaussian distributions.- Shannon''s information of discrete distributions.- Information functions for gaussian distributions part II.- Bounds of the variance.- Ambiguity function.- Akaike''s information criterion.- Channel information.- Deterministic and stochastic information.- Maximum entropy estimation.- Concluding remarks.- Appendix.- Bibliography.

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