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Combinatorial probabilities --- Probabilités combinatoires

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Probabilities --- Combinatorial analysis --- Probabilities. --- Combinatorial analysis. --- Analyse combinatoire --- Combinatorial probabilities --- Probabilités combinatoires --- Probabilités combinatoires.

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Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Discrete mathematics --- Combinatorial analysis. --- Analyse combinatoire --- Combinatorial probabilities --- Probabilités combinatoires --- Mathematics. --- Math --- Science --- Combinatorics --- Algebra --- Mathematical analysis --- Combinatorial analysis --- Mathematics

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Probabilities --- Probabilités --- Probabilités. --- Probabilités combinatoires. --- Variables aléatoires. --- Probabilités --- Probabilités. --- Variables aléatoires. --- Probabilités - Problèmes et exercices --- Probabilités - Problèmes et exercices.

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Probability theory --- Combinatorial probabilities --- Distribution (Probability theory) --- Stochastic processes --- 519.2 --- Random processes --- Probabilities --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilistic combinatorics --- Probability. Mathematical statistics --- 519.2 Probability. Mathematical statistics --- Probabilités combinatoires --- Probabilités --- Loi des grands nombres --- Law of large numbers --- Théorème de la limite centrale --- Central limit theorem --- Probabilités combinatoires. --- Probabilités. --- Théorème de la limite centrale. --- Central limit theorem. --- Combinatorial probabilities. --- Law of large numbers. --- Probabilities. --- Probabilités combinatoires --- Probabilités --- Théorème de la limite centrale --- Epreuve d'hypothese