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Weak Dependence: With Examples and Applications (Lecture Notes in Statistics, 190)
Dedecker, Jérome; Doukhan, Paul; Lang, Gabriel; Leon, José Rafael; Louhichi, Sana; Prieur, Clémentine
Sprache: Englisch
Verlag: Springer 2007
Serie: Lecture Notes in Statistics, Buch 35 von 72. Buch 35 von 72 - Lecture Notes in Statistics
- Softcover
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Sprache: Englisch
Verlag: Humana 2007
Serie: Lecture Notes in Statistics, Buch 35 von 72. Buch 35 von 72 - Lecture Notes in Statistics
- Softcover
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Taschenbuch. Zustand: Neu. Weak Dependence: With Examples and Applications | Jérome Dedecker (u. a.) | Taschenbuch | Lecture Notes in Statistics | xiv | Englisch | 2007 | Humana | EAN 9780387699516 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot…]com | Anbieter: preigu.

Sprache: Englisch
Verlag: Springer, Humana 2007
Serie: Lecture Notes in Statistics, Buch 35 von 72. Buch 35 von 72 - Lecture Notes in Statistics
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Time series and random elds are main topics in modern statistical techniques. They are essential for applications where randomness plays an important role. Indeed, physical constraints mean that serious modelling cannot be done - ing only independent… sequences. This is a real problem because asymptotic properties are not always known in this case. Thepresentworkisdevotedtoprovidingaframeworkforthecommonlyused time series. In order to validate the main statistics, one needs rigorous limit theorems. In the eld of probability theory, asymptotic behavior of sums may or may not be analogous to those of independent sequences. We are involved with this rst case in this book. Very sharp results have been proved for mixing processes, a notion int- duced by Murray Rosenblatt [166]. Extensive discussions of this topic may be found in his Dependence in Probability and Statistics (a monograph published by Birkhau ser in 1986) and in Doukhan (1994) [61], and the sharpest results may be found in Rio (2000)[161]. However, a counterexample of a really simple non-mixing process was exhibited by Andrews (1984) [2]. The notion of weak dependence discussed here takes real account of the available models, which are discussed extensively. Our idea is that robustness of the limit theorems with respect to the model should be taken into account. In real applications, nobody may assert, for example, the existence of a density for the inputs in a certain model, while such assumptions are always needed when dealing with mixing concepts.

Weak Dependence With Examples and Applications
Dedecker, Jerome/ Doukhan, Paul/ Lang, Gabriel/ Leon, Jose Rafael/ Louhichi, Sana
Sprache: Englisch
Verlag: Springer Verlag 2007
Serie: Lecture Notes in Statistics, Buch 35 von 72. Buch 35 von 72 - Lecture Notes in Statistics
- Softcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
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Paperback. Zustand: Brand New. 1st edition. 322 pages. 9.25x6.00x0.75 inches. In Stock.