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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

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Mathematical statistics --- 519.224 --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Asymptotic distribution (Probability theory) --- Failure time data analysis. --- Reliability (Engineering) --- Statistical methods. --- Asymptotic distribution (Probability theory). --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- Failure time data analysis --- Distribution asymptotique (Théorie des probabilités) --- Temps entre défaillances, Analyse des --- Fiabilité --- Statistical methods --- Méthodes statistiques

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Mathematical statistics --- Approximation theory --- Probabilities --- 519.224 --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Risk --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Théorie de l'approximation --- Probabilités

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Stochastic processes --- Mathematische statistiek --- Statistique mathématique --- Extreme value theory. --- Theory of distributions (Functional analysis) --- Asymptotic expansions. --- 519.224 --- Distribution (Probability theory) --- Extreme value theory --- Academic collection --- #BIBC:boekadm --- 519.24 --- 10.02.b --- Random variables --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Statistieken ; Wiskundige statistiek --- Theory of distributions (Functional analysis). --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory

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Stochastic processes --- Point processes --- Extreme value theory --- Distribution (Probability theory) --- Processus ponctuels --- Valeurs extrêmes, Théorie des --- Distribution (Théorie des probabilités) --- 519.224 --- 519.214 --- Processes, Point --- Random variables --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Distribution theory. Asymptotic theory. Characterization and structure theory --- Limit theorems --- Extreme value theory. --- Point processes. --- Distribution (Probability theory). --- 519.214 Limit theorems --- 519.224 Distribution theory. Asymptotic theory. Characterization and structure theory --- Valeurs extrêmes, Théorie des --- Distribution (Théorie des probabilités)