hierarchy 发表于 2025-3-21 16:47:52

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magenta 发表于 2025-3-21 20:47:53

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恶臭 发表于 2025-3-22 01:36:10

Textbook 2018and statistics that directly apply to the time series context to obtain a wide range of modelling possibilities. Functional estimation and bootstrap are discussed, and stationarity is reviewed. The second part describes a number of tools from Gaussian chaos and proposes a tour of linear time series

胆汁 发表于 2025-3-22 08:02:58

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即席演说 发表于 2025-3-22 09:55:09

Estimation Conceptsment inequalities in Lemma . which are useful for empirical procedures. Then we describe empirical estimators, contrast estimators and non-parametric estimators. The developments do not reflect the relative interest of the topics but are rather considered with respect to possible developments under dependence conditions hereafter.

harangue 发表于 2025-3-22 16:25:19

Associated Processesncide. Another case for which this feature holds is the Gaussian case, see Chap. .. The notion of independence is more related to .-algebras but in those two cases it is related to the geometric notion of orthogonality. Those remarks are of interest for modelling dependence as this is the aim of Chap. ..

公猪 发表于 2025-3-22 21:04:36

Long-Range Dependence see Sects. . and .. Asymptotic properties of instantaneous functions of Gaussian processes are provided in Remark .. Infinite moving averages models with LRD properties are provided in Sects. . and .. We refer the reader to Doukhan et al. (Theory and applications of long-range dependence. Birkhaüser, Boston, 2002b) for much more.

propose 发表于 2025-3-23 01:12:23

Gaussian Convergence and Inequalitiesal inequalities for partial sums behaving asymptotically as Gaussian random variables. A relevant reference for the whole chapter is Petrov (Limit theorems of probability theory. Sequences of independent random variables, Oxford University Press, Oxford, 1975), results without a precise reference sh

要素 发表于 2025-3-23 01:44:36

Estimation Concepts the present chapter for the independent case. Basic notations are those from Appendix B.1. Developments may be found in van der Vaart (Asymptotic statistics, Cambridge University Press, Cambridge, 1998) and those related with functional estimation may be found in the monograph (Rosenblatt, Stochast

揭穿真相 发表于 2025-3-23 08:06:23

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查看完整版本: Titlebook: Stochastic Models for Time Series; Paul Doukhan Textbook 2018 Springer International Publishing AG, part of Springer Nature 2018 60G10 37