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Limiettheorema's (Waarschijnlijkheidstheorie) --- Limit theorems (Probability theory) --- Théorèmes limites (Théorie des probabilités) --- -519.214 --- Probabilities --- Congresses --- Limit theorems --- 519.214 Limit theorems --- 519.214

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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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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

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Probability theory --- 519.214 --- Limit theorems --- 519.214 Limit theorems --- Limit theorems (Probability theory) --- Representations of groups --- Measure theory. --- Mesure, Théorie de la. --- Central limit theorem --- Théorème de la limite centrale --- Random variables --- Variables aléatoires --- Law of large numbers --- Loi des grands nombres --- Central limit theorem. --- Law of large numbers. --- Random variables. --- Mesure, Théorie de la --- Théorème de la limite centrale --- Variables aléatoires --- Représentations de groupes --- Analyse harmonique