Weak Dependence: With Examples and Applications
Language: English
Published by Springer, Humana Jul 2007, 2007
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -This monograph is aimed at developing Doukhan/Louhichi's (1999) idea to measure asymptotic independence of a random process. The authors propose various examples of models fitting such conditions such as stable Markov chains, dynamical systems or more complicated models, nonlinear, non-Markovian, and heteroskedastic models with infinite memory. Most of the commonly used stationary models fit their conditions. The simplicity of the conditions is also their strength. The main tools for an asymptotic theory are developed under weak dependence. They apply the theory to nonparametric statistics, spectral analysis, econometrics, and resampling. The level of generality makes those techniques quite robust with respect to the model. The limit theorems are sometimes sharp and always simple to apply. The theory (with proofs) is developed and the authors propose to fix the notation for future applications. Several applications are still needed to develop a method of analysis for (nonlinear) times series and they provide here a strong basis for such studies.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 336 pp. Englisch.…
Seller Inventory # 9780387699516
- Title
- Weak Dependence: With Examples and Applications
- Author
- Jérome Dedecker
- Publisher
- Springer, Humana Jul 2007
- Publication year
- 2007
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 0387699511
- ISBN 13
- 9780387699516
- Item weight
- 511 grams
- Dimensions
- 235x155x19 mm
- Series
- Book 35 of 72: Lecture Notes in Statistics
"Synopsis" may belong to another edition of this title.
From the Back Cover
This monograph is aimed at developing Doukhan/Louhichi's (1999) idea to measure asymptotic independence of a random process. The authors propose various examples of models fitting such conditions such as stable Markov chains, dynamical systems or more complicated models, nonlinear, non-Markovian, and heteroskedastic models with infinite memory. Most of the commonly used stationary models fit their conditions. The simplicity of the conditions is also their strength.
The main existing tools for an asymptotic theory are developed under weak dependence. They apply the theory to nonparametric statistics, spectral analysis, econometrics, and resampling. The level of generality makes those techniques quite robust with respect to the model. The limit theorems are sometimes sharp and always simple to apply.
The theory (with proofs) is developed and the authors propose to fix the notation for future applications. A large number of research papers deals with the present ideas; the authors as well as numerous other investigators participated actively in the development of this theory. Several applications are still needed to develop a method of analysis for (nonlinear) times series and they provide here a strong basis for such studies.
Jérôme Dedecker (associate professor Paris 6), Gabriel Lang (professor at
Ecole Polytechnique, ENGREF Paris), Sana Louhichi (Paris 11, associate professor at Paris 2), and Clémentine Prieur (associate professor at INSA, Toulouse) are
main contributors for the development of weak dependence. José Rafael León (Polar price, correspondent of the Bernoulli society for Latino-America) is professor at University Central of Venezuela and Paul Doukhan is professor at ENSAE (SAMOS-CES Paris 1 and Cergy Pontoise) and associate editor of Stochastic Processes and their Applications. His Mixing: Properties and Examples (Springer, 1994) is a main reference for theconcurrent notion of mixing.
"About the title" may belong to another edition of this title.
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Emtmannsberg, BAYE, Germany
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