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Probability theory --- Stochastic processes --- Summability theory --- Distribution (Probability theory) --- 519.214 --- Limit theorems --- 519.214 Limit theorems --- Processus stochastiques --- Sommabilité --- Distribution (Théorie des probabilités) --- Monograph --- Probabilités. --- Probabilities --- Probabilities. --- Stochastic processes. --- Probabilités --- Variables aléatoires

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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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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 --- 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

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This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master's level statistics text, this book will also give researchers an overview of research in asymptotic statistics.

519.224 --- Mathematical statistics --- -519.214 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- 519.214 Limit theorems --- Limit theorems --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Asymptotic theory --- Statistical methods --- Statistics --- Probabilities --- Sampling (Statistics) --- Asymptotic theory. --- Statistique mathématique --- Théorie asymptotique --- Mathematical Sciences --- Probability --- stochastische processen --- wiskundige statistiek --- -Mathematics --- Asymptotic expansions --- -519.224 --- Mathematical statistics - Asymptotic theory --- Statistique --- -519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- -Asymptotic theory