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Stochastic processes --- Limit theorems (Probability theory) --- Summability theory --- 519.214 --- Sequences (Mathematics) --- Series --- Random processes --- Probabilities --- Limit theorems --- Stochastic processes. --- Summability theory. --- Limit theorems (Probability theory). --- 519.214 Limit theorems

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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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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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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