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[null,"1.","Record Nr.",null,"UNINA9910450231003321"]
[null,null,"Autore",null,"Johnson Oliver (Oliver Thomas)"]
[null,null,"Titolo",null,"Information theory and the central limit theorem [[electronic resource] /] / Oliver Johnson"]
[null,null,"Pubbl/distr/stampa",null,"London, : Imperial College Press"]
[{"$nulls":4},"River Edge, NJ, : Distributed by World Scientific Publishing, c2004"]
[null,null,"ISBN",null,"1-281-86643-1"]
[{"$nulls":4},"9786611866433"]
[{"$nulls":4},"1-86094-537-6"]
[null,null,"Descrizione fisica",null,"1 online resource (224 p.)"]
[null,null,"Disciplina",null,"519.2"]
[null,null,"Soggetti",null,"Central limit theorem"]
[{"$nulls":4},"Information theory - Statistical methods"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 199-206) and index."]
[null,null,"Nota di contenuto",null,"Information Theory and The Central Limit Theorem; Preface; Contents; 1. Introduction to Information Theory; 2. Convergence in Relative Entropy; 3. Non-Identical Variables and Random Vectors; 4. Dependent Random Variables; 5. Convergence to Stable Laws; 6. Convergence on Compact Groups; 7. Convergence to the Poisson Distribution; 8. Free Random Variables; Appendix A Calculating Entropies; Appendix B Poincare Inequalities; Appendix C de Bruijn Identity; Appendix D Entropy Power Inequality; Appendix E Relationships Between Different Forms of Convergence; Bibliography; Index"]
[null,null,null,"Sommario/riassunto","This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from a number of research papers as well as unpublished material, showing how the techniques can give a unified view of limit theorems."]