On the identifiability of bilinear stochastic systems

C. Bourin, P. Bondon
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引用次数: 3

Abstract

Bilinear systems are useful to model nonlinear time series. They can be described by a nonlinear recursive equation involving a finite number of parameters. Their analysis and particularly the estimation of the parameters is of central interest. In this paper we establish difference equations between lagged moments and cumulants up to third-order of a simple bilinear model, and show how to use these relations to estimate the parameters.
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双线性随机系统的可辨识性
双线性系统用于非线性时间序列的建模。它们可以用一个包含有限个参数的非线性递归方程来描述。它们的分析,特别是参数的估计是中心兴趣。本文建立了一个简单双线性模型的滞后矩与三阶累积量之间的差分方程,并说明了如何利用这些关系来估计参数。
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