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Stochastic processes --- Limiettheorema's (Waarschijnlijkheidstheorie) --- Limit theorems (Probability theory) --- Semimartingales (Mathematics) --- Théorèmes limites (Théorie des probabilités) --- Semimartingales (Mathématiques) --- 519.214 --- Limit theorems --- 519.214 Limit theorems --- Semimartingales (Mathématiques) --- Théorèmes limites (Théorie des probabilités)

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Limit theorems (Probability theory) --- Random variables --- Summability theory --- 519.214 --- Sequences (Mathematics) --- Series --- Chance variables --- Stochastic variables --- Variables (Mathematics) --- Limit theorems --- 519.214 Limit theorems --- Probabilities --- Mathematical statistics --- Probability theory --- Random variables. --- Summability theory.

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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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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)

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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