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Probabilities --- Random variables --- Characteristic functions --- Probabilités --- Variables aléatoires --- Fonctions caractéristiques
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Lie groups. --- Lie algebras. --- Characteristic functions. --- Hilbert, David,
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Ordered algebraic structures --- 51 <082.1> --- Mathematics--Series --- Algebra, Homological --- Characteristic functions. --- Fonctions caractéristiques --- Algèbre homologique --- Characteristic functions --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Probabilities --- Homological algebra --- Algebra, Abstract --- Homology theory --- Fonctions caractéristiques. --- Algèbre homologique.
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Ordered algebraic structures --- Artin algebras. --- Algèbres artiniennes. --- Gorenstein rings. --- Anneaux de Gorenstein. --- Characteristic functions. --- Fonctions caractéristiques. --- Artin algebras --- Characteristic functions --- Gorenstein rings --- Gorenstein's rings --- Rings, Gorenstein --- Noetherian rings --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Probabilities --- Algebras, Artin --- Artin rings --- Commutative algebra --- Modules (Algebra)
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Stein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 2003, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers i
Distribution (Probability theory) --- Approximation theory --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities
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Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measure-theoretic) probability and statistical inference, the book is accessible to the wide range of researchers who use statistical modelling techniques. Guiding readers through the main concepts and results, it covers both the probability and the statistics sides of the subject, in the univariate and multivariate settings. The theoretical development is complemented by numerous illustrations and applications to a range of fields including quantitative finance, medical statistics, environmental risk studies, and industrial and business efficiency. The author's freely available R package sn, available from CRAN, equips readers to put the methods into action with their own data.
Distribution (Probability theory) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Mathematical Sciences --- Probability
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This book is a useful overview of results in multivariate probability distributions and multivariate analysis as well as a reference to harmonic analysis on symmetric cones adapted to the needs of researchers in analysis and probability theory.
Distribution (Probability theory) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Data processing. --- Mathematical models.
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Random variables. --- Variables aléatoires --- Characteristic functions --- Fonctions caractéristiques. --- Analyse harmonique
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Characteristic functions --- Probabilities --- Random variables --- Fonctions caractéristiques. --- Probabilités. --- Variables aléatoires. --- Statistique