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Entropy, compactness, and the approximation of operators par Carl, Bernd. Publication : Cambridge | New York Cambridge University Press 1990 . x, 277 pages 24 cm. Date : 1990 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Mathematical theory of entropy par Martin, Nathaniel F. G. Publication : Cambridge Cambridge University Press 2010 . pages cm. , Originally published: 1981. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Noise theory and application to physics From fluctuations to information par Réfrégier, Philippe Publication : New York Springer 2004 . xiii, 288 pages 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Statistical inference based on divergence measures par Pardo,, Leandro. Publication : [S.l.] Chapman and Hall/CRC 2005 . 512 p. , The idea of using functionals of Information Theory, such as entropies or divergences, in statistical inference is not new. However, in spite of the fact that divergence statistics have become a very good alternative to the classical likelihood ratio test and the Pearson-type statistic in discrete models, many statisticians remain unaware of this powerful approach. Statistical Inference Based on Divergence Measures explores classical problems of statistical inference, such as estimation and hypothesis testing, on the basis of measures of entropy and divergence. The first two chapters form an overview, from a statistical perspective, of the most important measures of entropy and divergence and study their properties. The author then examines the statistical analysis of discrete multivariate data with emphasis is on problems in contingency tables and loglinear models using phi-divergence test statistics as well as minimum phi-divergence estimators. The final chapter looks at testing in general populations, presenting the interesting possibility of introducing alternative test statistics to classical ones like Wald, Rao, and likelihood ratio. Each chapter concludes with exercises that clarify the theoretical results and present additional results that complement the main discussions. Clear, comprehensive, and logically developed, this book offers a unique opportunity to gain not only a new perspective on some standard statistics problems, but the tools to put it into practice. 23 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

On measures of information and their characterizations / par Aczél, J. Publication : . 1 online resource (xii, 234 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780120437603,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=115,

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