در مورد اندازه‌گیری‌های اطلاعات و ویژگی‌های آن‌ها، جلد ۱۱۵ (ریاضیات در علم و مهندسی)

This book deals with measures of information (the most important ones being called entropies), their properties, and, reciprocally, with questions concerning which of these properties determine known measures of information, and which are the most general formulas satisfying reasonable requirements on practical measures of information. Thisis the first book investigating this subject in depth. Content: Edited by Page ii Copyright page Page iv Dedication Page v Preface Pages xi-xii 0 Introduction. Entropy of a Single Event. Functional Equations Pages 1-25 1 Shannon's Measure of Information Pages 26-49 2 Some Desirable Properties of Entropies and Their Correlations. The Hinčin and Faddeev Characterizations of Shannon's Entropy Pages 50-70 3 The Fundamental Equation of Information Pages 71-102 4 Further Characterizations of the Shannon Entropy Pages 103-133 5 Rényi Entropies Pages 134-172 6 Generalized Information Functions Pages 173-191 7 Further Measures of Information Pages 192-217 References Pages 219-226 Author Index Pages 227-229 Subject Index Pages 231-234 On measures of information and their characterizations