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The Kullback-Leibler autodependogram

机译:Kullback-Leibler自相关图

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摘要

The autodependogram is a graphical device recently proposed in the literature to analyze autodependencies. It is defined computing the classical Pearson -statistics of independence at various lags in order to point out the presence lag-depedencies. This paper proposes an improvement of this diagram obtained by substituting the -statistics with an estimator of the Kullback-Leibler divergence between the bivariate density of two delayed variables and the product of their marginal distributions. A simulation study, on well-established time series models, shows that this new autodependogram is more powerful than the previous one. An application to a well-known financial time series is also shown.
机译:自相关图是最近在文献中提出的用于分析自相关性的图形设备。为了指出存在滞后缺陷,定义了在各种滞后下的经典Pearson统计独立性统计。本文提出了通过用-统计量替换两个延迟变量的双变量密度与其边际分布的乘积之间的Kullback-Leibler散度的估计量而获得的该图的一种改进。对完善的时间序列模型进行的仿真研究表明,这种新的自相关图比以前的自相关图更强大。还显示了对著名的财务时间序列的应用。

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