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- catalog abstract "Mixing is concerned with the analysis of dependence between sigma-fields defined on the same underlying probability space. It provides an important tool of analysis for random fields, Markov processes, central limit theorems as well as being a topic of current research interest in its own right. The aim of this monograph is to provide a study of applications of dependence in probability and statistics. It is divided in two parts, the first covering the definitions and probabilistic properties of mixing theory. The second part describes mixing properties of classical processes and random fields as well as providing a detailed study of linear and Gaussian fields. Consequently, this book will provide statisticians dealing with problems involving weak dependence properties with a powerful tool.".
- catalog contributor b5825184.
- catalog created "1994.".
- catalog date "1994".
- catalog date "1994.".
- catalog dateCopyrighted "1994.".
- catalog description "1. General properties. 1.1. Dependence of [sigma]-fields. 1.2. Basic tools. 1.3. Mixing. 1.4. Tools. 1.5. Central limit theorem -- 2. Examples. 2.1. Gaussian random fields. 2.2. Gibbs fields. 2.3. Linear fields. 2.4. Markov processes. 2.5. Continuous time processes.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Mixing is concerned with the analysis of dependence between sigma-fields defined on the same underlying probability space. It provides an important tool of analysis for random fields, Markov processes, central limit theorems as well as being a topic of current research interest in its own right. The aim of this monograph is to provide a study of applications of dependence in probability and statistics. It is divided in two parts, the first covering the definitions and probabilistic properties of mixing theory. The second part describes mixing properties of classical processes and random fields as well as providing a detailed study of linear and Gaussian fields. Consequently, this book will provide statisticians dealing with problems involving weak dependence properties with a powerful tool.".
- catalog extent "xii, 142 p. :".
- catalog hasFormat "Mixing.".
- catalog identifier "0387942149".
- catalog isFormatOf "Mixing.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 85.".
- catalog isPartOf "Lecture notes in statistics ; 85".
- catalog issued "1994".
- catalog issued "1994.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Mixing.".
- catalog subject "519.2 20".
- catalog subject "Limit theorems (Probability theory)".
- catalog subject "Mathematics.".
- catalog subject "QA273.67 .D68 1995".
- catalog subject "Stochastic processes.".
- catalog tableOfContents "1. General properties. 1.1. Dependence of [sigma]-fields. 1.2. Basic tools. 1.3. Mixing. 1.4. Tools. 1.5. Central limit theorem -- 2. Examples. 2.1. Gaussian random fields. 2.2. Gibbs fields. 2.3. Linear fields. 2.4. Markov processes. 2.5. Continuous time processes.".
- catalog title "Mixing : properties and examples / Paul Doukhan.".
- catalog type "text".