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Asymptotic theory --- -519.214 --- Limit theorems --- Asymptotic theory. --- 519.214 Limit theorems --- Théorie asymptotique --- Mathematical statistics --- 519.214 --- Asymptotic expansions --- Statistique mathématique --- Échantillonnage (statistique) --- Sampling (Statistics) --- Statistique mathématique --- Théorie asymptotique --- Mathematical statistics - Asymptotic theory --- Statistique mathématique. --- Échantillonnage (statistique)
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Ergodic theory. Information theory --- Ordered algebraic structures --- Measure-preserving transformations --- Ramsey theory --- 519.214 --- 519.214 Limit theorems --- Limit theorems --- Combinatorial analysis --- Graph theory --- Ergodic theory --- Measure theory --- Transformations (Mathematics) --- Measure-preserving transformations. --- Transformations conservant la mesure --- Ramsey theory. --- Ramsey, Théorie de --- Transformations conservant la mesure.
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Probability theory --- Stationary sequences (Mathematics) --- Sequences (Mathematics) --- Distribution (Probability theory) --- Random variables --- 519.214 --- Stationary processes --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Limit theorems --- 519.214 Limit theorems
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Numerical approximation theory --- Mathematical statistics --- Limit theorems (Probability theory) --- 519.23 --- 519.2 --- 519.214 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical analysis. Inference methods --- Probability. Mathematical statistics --- Limit theorems --- Statistical methods --- Mathematical statistics. --- Limit theorems (Probability theory). --- 519.214 Limit theorems --- 519.2 Probability. Mathematical statistics --- 519.23 Statistical analysis. Inference methods --- Statistique mathématique --- Statistique mathématique
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Probability theory --- Partial sums (Series) --- Random variables --- Sequences (Mathematics) --- Stochastic processes --- 519.214 --- Random processes --- Probabilities --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Chance variables --- Stochastic variables --- Variables (Mathematics) --- Sums, Partial (Series) --- Series --- Series, Infinite --- Limit theorems --- 519.214 Limit theorems --- Random variables. --- Stochastic processes. --- Processus stochastiques. --- Suites (mathématiques) --- Sommes partielles (séries)
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Probability theory --- Stochastic processes --- Sequences (Mathematics) --- Convergence --- 519.214 --- Random processes --- Probabilities --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Functions --- Limit theorems --- Stochastic processes. --- Convergence. --- Sequences (Mathematics). --- 519.214 Limit theorems --- Probabilités. --- Variables aléatoires. --- Random variables --- Processus stochastiques --- Analyse stochastique --- Probabilités. --- Variables aléatoires.
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Stochastic processes --- Approximation theory --- Poisson distribution --- Théorie de l'approximation --- Distribution de Poisson --- 519.214 --- Limit theorems --- 519.214 Limit theorems --- Théorie de l'approximation --- Distribution (Probability theory) --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Processus stochastiques --- Poisson, Processus de --- Poisson processes --- Probabilities --- Probabilités --- Probabilités. --- Probabilités
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Probability theory --- Random variables --- Banach spaces. --- Banach spaces --- Central limit theorem --- 519.214 --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Asymptotic distribution (Probability theory) --- Limit theorems (Probability theory) --- Functions of complex variables --- Generalized spaces --- Topology --- Limit theorems --- Central limit theorem. --- Random variables. --- 519.214 Limit theorems
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Probabilities --- Measure theory --- Metric spaces --- Convergence --- Probabilités --- Mesure, Théorie de la --- Espaces métriques --- Convergence (Mathématiques) --- Probability measures --- 519.214 --- 519.2 --- Measures, Normalized --- Measures, Probability --- Normalized measures --- Distribution (Probability theory) --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Functions --- Limit theorems --- Probability measures. --- Metric spaces. --- Convergence. --- 519.214 Limit theorems --- Probabilités --- Mesure, Théorie de la --- Espaces métriques --- Convergence (Mathématiques)
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The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on its distribution only, and this property allows the results and methods associated with r.i. spaces to be applied to problems in probability theory. On the other hand, probabilistic methods can also prove useful in the study of r.i. spaces. In this book new techniques are used and a number of interesting results are given. Most of the results are due to the author but have never before been available in English. Here they are all presented together in a volume that will be essential reading for all serious researchers in this area.
Random variables. --- Rearrangement invariant spaces. --- Inequalities (Mathematics) --- Processes, Infinite --- Invariant spaces, Rearrangement --- Spaces, Rearrangement invariant --- Function spaces --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Probability --- Random variables --- Rearrangement invariant spaces --- Variables aléatoires --- Sous espaces invariants --- 519.214 --- 519.214 Limit theorems --- Limit theorems