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Weak Dependence With Examples And Applications


Weak Dependence With Examples And Applications
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Weak Dependence With Examples And Applications


Weak Dependence With Examples And Applications
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Author : Jérôme Dedecker
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-18

Weak Dependence With Examples And Applications written by Jérôme Dedecker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-18 with Mathematics categories.


This book develops Doukhan/Louhichi's 1999 idea to measure asymptotic independence of a random process. The authors, who helped develop this theory, propose examples of models fitting such conditions: stable Markov chains, dynamical systems or more complicated models, nonlinear, non-Markovian, and heteroskedastic models with infinite memory. Applications are still needed to develop a method of analysis for nonlinear times series, and this book provides a strong basis for additional studies.



Mixing


Mixing
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Author : Paul Doukhan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mixing written by Paul Doukhan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Asymptotic Theory Of Weakly Dependent Random Processes


Asymptotic Theory Of Weakly Dependent Random Processes
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Author : Emmanuel Rio
language : en
Publisher: Springer
Release Date : 2017-04-13

Asymptotic Theory Of Weakly Dependent Random Processes written by Emmanuel Rio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-13 with Mathematics categories.


Ces notes sont consacrées aux inégalités et aux théorèmes limites classiques pour les suites de variables aléatoires absolument régulières ou fortement mélangeantes au sens de Rosenblatt. Le but poursuivi est de donner des outils techniques pour l'étude des processus faiblement dépendants aux statisticiens ou aux probabilistes travaillant sur ces processus.



Cyclostationarity Theory And Methods Iv


Cyclostationarity Theory And Methods Iv
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Author : Fakher Chaari
language : en
Publisher: Springer
Release Date : 2019-07-31

Cyclostationarity Theory And Methods Iv written by Fakher Chaari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Technology & Engineering categories.


This book gathers contributions presented at the 10th Workshop on Cyclostationary Systems and Their Applications, held in Gródek nad Dunajcem, Poland in February 2017. It includes twelve interesting papers covering current topics related to both cyclostationary and general non stationary processes. Moreover, this book, which covers both theoretical and practical issues, offers a practice-oriented guide to the analysis of data sets with non-stationary behavior and a bridge between basic and applied research on nonstationary processes. It provides students, researchers and professionals with a timely guide on cyclostationary systems, nonstationary processes and relevant engineering applications.



Dependence In Probability And Statistics


Dependence In Probability And Statistics
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Author : Patrice Bertail
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-24

Dependence In Probability And Statistics written by Patrice Bertail and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-24 with Mathematics categories.


This book gives an account of recent developments in the field of probability and statistics for dependent data. It covers a wide range of topics from Markov chain theory and weak dependence with an emphasis on some recent developments on dynamical systems, to strong dependence in times series and random fields. There is a section on statistical estimation problems and specific applications. The book is written as a succession of papers by field specialists, alternating general surveys, mostly at a level accessible to graduate students in probability and statistics, and more general research papers mainly suitable to researchers in the field.



Spatial Statistics Methodological Aspects And Applications


Spatial Statistics Methodological Aspects And Applications
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Author : Marc Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Spatial Statistics Methodological Aspects And Applications written by Marc Moore and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


During the past twenty years spatial statistics has experienced important developments and has been applied in many fields of science. In view of these facts, spatial statistics was an important topic during the theme year on statistics at the CRM in 1997-98. This volume contains 13 papers based on presentations by eminent researchers at four workshops during that year: Statistical Inference for Spatial Processes; Image Analysis; Applications of Spatial Statistics in Earth, Environmental, and Health Sciences; and Statistics of Brain Mapping. These papers range from asymptotic considerations for spatial processes to practical considerations related to particular applications including important methodological aspects. Many contributions concern image analysis, mainly images related to brain mapping.



Concepts And Results In Chaotic Dynamics A Short Course


Concepts And Results In Chaotic Dynamics A Short Course
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Author : Pierre Collet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-07

Concepts And Results In Chaotic Dynamics A Short Course written by Pierre Collet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-07 with Mathematics categories.


The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.



Cyclostationarity Theory And Methods Iii


Cyclostationarity Theory And Methods Iii
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Author : Fakher Chaari
language : en
Publisher: Springer
Release Date : 2017-02-25

Cyclostationarity Theory And Methods Iii written by Fakher Chaari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-25 with Technology & Engineering categories.


This book gathers contributions presented at the 9th Workshop on Cyclostationary Systems and Their Applications, held in Gródek nad Dunajcem, Poland in February 2016. It includes both theory-oriented and practice-oriented chapters. The former focus on heavy-tailed time series and processes, PAR models, rational spectra for PARMA processes, covariance invariant analysis, change point problems, and subsampling for time series, as well as the fraction-of-time approach, GARMA models and weak dependence. In turn, the latter report on case studies of various mechanical systems, and on stochastic and statistical methods, especially in the context of damage detection. The book provides students, researchers and professionals with a timely guide to cyclostationary systems, nonstationary processes and relevant engineering applications.



Empirical Process Techniques For Dependent Data


Empirical Process Techniques For Dependent Data
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Author : Herold Dehling
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Empirical Process Techniques For Dependent Data written by Herold Dehling and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Empirical process techniques for independent data have been used for many years in statistics and probability theory. These techniques have proved very useful for studying asymptotic properties of parametric as well as non-parametric statistical procedures. Recently, the need to model the dependence structure in data sets from many different subject areas such as finance, insurance, and telecommunications has led to new developments concerning the empirical distribution function and the empirical process for dependent, mostly stationary sequences. This work gives an introduction to this new theory of empirical process techniques, which has so far been scattered in the statistical and probabilistic literature, and surveys the most recent developments in various related fields. Key features: A thorough and comprehensive introduction to the existing theory of empirical process techniques for dependent data * Accessible surveys by leading experts of the most recent developments in various related fields * Examines empirical process techniques for dependent data, useful for studying parametric and non-parametric statistical procedures * Comprehensive bibliographies * An overview of applications in various fields related to empirical processes: e.g., spectral analysis of time-series, the bootstrap for stationary sequences, extreme value theory, and the empirical process for mixing dependent observations, including the case of strong dependence. To date this book is the only comprehensive treatment of the topic in book literature. It is an ideal introductory text that will serve as a reference or resource for classroom use in the areas of statistics, time-series analysis, extreme value theory, point process theory, and applied probability theory. Contributors: P. Ango Nze, M.A. Arcones, I. Berkes, R. Dahlhaus, J. Dedecker, H.G. Dehling,



Time Series Analysis Methods And Applications


Time Series Analysis Methods And Applications
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Author :
language : en
Publisher: Elsevier
Release Date : 2012-05-18

Time Series Analysis Methods And Applications written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-18 with Mathematics categories.


The field of statistics not only affects all areas of scientific activity, but also many other matters such as public policy. It is branching rapidly into so many different subjects that a series of handbooks is the only way of comprehensively presenting the various aspects of statistical methodology, applications, and recent developments.The Handbook of Statistics is a series of self-contained reference books. Each volume is devoted to a particular topic in statistics, with Volume 30 dealing with time series. The series is addressed to the entire community of statisticians and scientists in various disciplines who use statistical methodology in their work. At the same time, special emphasis is placed on applications-oriented techniques, with the applied statistician in mind as the primary audience. - Comprehensively presents the various aspects of statistical methodology - Discusses a wide variety of diverse applications and recent developments - Contributors are internationally renowened experts in their respective areas