Characterizations of Information Measures

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World Scientific, 1998 - Functional equations - 281 pages
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How should information be measured? That is the motivating question for this book. The concept of information has become so pervasive that people regularly refer to the present era as the Information Age. Information takes many forms: oral, written, visual, electronic, mechanical, electromagnetic, etc. Many recent inventions deal with the storage, transmission, and retrieval of information. From a mathematical point of view, the most basic problem for the field of information theory is how to measure information. In this book we consider the question: What are the most desirable properties for a measure of information to possess? These properties are then used to determine explicitly the most “natural” (i.e. the most useful and appropriate) forms for measures of information.This important and timely book presents a theory which is now essentially complete. The first book of its kind since 1975, it will bring the reader up to the current state of knowledge in this field.
 

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Contents

Introduction Preliminaries and Notation
1
The Branching Property
29
Recursivity Properties
51
The Fundamental Equation of Information
81
Sum Form Information Measures
107
Basic Sum Form Functional Equations
117
Additive Sum Form Information Measures
157
Additive Sum Form Information Measures
167
Additive Sum Form Information Measures
221
References
261
Index
277
Copyright

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About the author (1998)

Wolfgang Sander gehort zum Jahrgang 1927. Mit dem Notabitur wurde er 1944 zur Luftwaffe eingezogen, geriet 1945 in englische Gefangenschaft, aus der er erst Ende 1947 entlassen wurde. Er erlernte das Zimmerer-Handwerk und liess sich anschliessend zur Realschullehrer ausbilden. Der Schriftstellerei widmete er sich lediglich in seiner Freizeit, sein jetziger Ruhestand lasst ihm dazu mehr Musse.

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