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CHARACTERIZATIONS OF INFORMATION MEASURES
by Bruce Ebanks (Marshall University, USA), Prasanna Sahoo (University of Louisville, USA) & Wolfgang Sander (Technical University, Germany)
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.
Contents:
- The Branching Property
- Recursivity Properties
- The
Fundamental Equation of Information and Regular Recursive Measures
- Sum Form Information Measures and Additivity Properties
- Basic Sum Form Functional Equations
- Additive Sum Form Information Measures
- Additive Sum Form Information Measures of Type l
- Additive Sum Form Information Measures of Multiplicative Type
Readership: Students and practitioners of information theory,
statistics and functional equations.
"This book is highly recommended for all those whose interests lie in the fields that deal with any kind of information measures. It will also find readers in the field of functional analysis..."
| 292pp |
Pub. date: Apr 1998 |
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