{"product_id":"weak-dependence-with-examples-and-applications-9780387699516","title":"Weak Dependence: With Examples and Applications","description":"\u003cp\u003e • Author(s): Jérome Dedecker\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe 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. \u003cp\u003e\u003c\/p\u003eThe 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. \u003cp\u003e\u003c\/p\u003eJérôme Dedecker (associate professor Paris 6), Gabriel Lang (professor at\u003cbr\u003eEcole Polytechnique, ENGREF Paris), Sana Louhichi (Paris 11, associate professor at Paris 2), and Clémentine Prieur (associate professor at INSA, Toulouse) are \u003cbr\u003emain 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 \u003cem\u003eStochastic Processes and their Applications\u003c\/em\u003e. His \u003cem\u003eMixing: Properties and Examples\u003c\/em\u003e (Springer, 1994) is a main reference for the concurrent notion of mixing.","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276872016023,"sku":"9780387699516","price":8732.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780387699516.webp?v=1769286880","url":"https:\/\/atlanticbooks.com\/products\/weak-dependence-with-examples-and-applications-9780387699516","provider":"Atlantic Books","version":"1.0","type":"link"}