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Titlebook: Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis; A Frequency Domain A Gy?rgy Terdik Book 1999 Springer Sc

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發(fā)表于 2025-3-21 18:13:45 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis
期刊簡稱A Frequency Domain A
影響因子2023Gy?rgy Terdik
視頻videohttp://file.papertrans.cn/187/186237/186237.mp4
學(xué)科分類Lecture Notes in Statistics
圖書封面Titlebook: Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis; A Frequency Domain A Gy?rgy Terdik Book 1999 Springer Sc
影響因子"Ninety percent of inspiration is perspiration. " [31] The Wiener approach to nonlinear stochastic systems [146] permits the representation of single-valued systems with memory for which a small per- turbation of the input produces a small perturbation of the output. The Wiener functional series representation contains many transfer functions to describe entirely the input-output connections. Although, theoretically, these representations are elegant, in practice it is not feasible to estimate all the finite-order transfer functions (or the kernels) from a finite sam- ple. One of the most important classes of stochastic systems, especially from a statistical point of view, is the case when all the transfer functions are determined by finitely many parameters. Therefore, one has to seek a finite-parameter nonlinear model which can adequately represent non- linearity in a series. Among the special classes of nonlinear models that have been studied are the bilinear processes, which have found applica- tions both in econometrics and control theory; see, for example, Granger and Andersen [43] and Ruberti, et al. [4]. These bilinear processes are de- fined to be linear in both input and
Pindex Book 1999
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書目名稱Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis影響因子(影響力)




書目名稱Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis影響因子(影響力)學(xué)科排名




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書目名稱Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis讀者反饋學(xué)科排名




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Book 1999 special classes of nonlinear models that have been studied are the bilinear processes, which have found applica- tions both in econometrics and control theory; see, for example, Granger and Andersen [43] and Ruberti, et al. [4]. These bilinear processes are de- fined to be linear in both input and
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https://doi.org/10.1007/1-4020-5256-1al representation of stationary random processes. Two particular cases are studied in detail. One is the closest possible process to the Gaussian stationary processes which has only first, i.e., Gaussian and second order multiple terms. The second is an appropriate function of a Gaussian stationary
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https://doi.org/10.1007/1-4020-5256-1squares procedure. The idea of Gaussian estimation in the second order case goes back essentially to the method suggested by Whittle [144]. The properties of such types of estimates are studied by Rice [106], using the asymptotic properties of the spectral estimators due to Brillinger and Rosenblatt
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Some Applications,We have used the linearity test for real data. The linear residual process was calculated by fitting an . model using the . method. The order . of the autoregression was determined by . criteria.
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Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis978-1-4612-1552-3Series ISSN 0930-0325 Series E-ISSN 2197-7186
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