The autodependogram is a graphical device recently proposed in the literature to analyze autodependencies. It is defined computing the classical Pearson χ2 -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 χ2 -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.

Bagnato, L., De Capitani, L., Punzo, A. (2016). The Kullback–Leibler autodependogram. JOURNAL OF APPLIED STATISTICS, 43(14), 2574-2594 [10.1080/02664763.2016.1142943].

The Kullback–Leibler autodependogram

Bagnato, L.;De Capitani, L.;Punzo, A.
2016

Abstract

The autodependogram is a graphical device recently proposed in the literature to analyze autodependencies. It is defined computing the classical Pearson χ2 -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 χ2 -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.
Articolo in rivista - Articolo scientifico
autocorrelogram; autodependogram; Epanechnikov kernel; Kullback–Leibler divergence; Nonlinear time series; permutations;
autocorrelogram; autodependogram; Epanechnikov kernel; Kullback–Leibler divergence; Nonlinear time series; permutations; Statistics and Probability; Statistics, Probability and Uncertainty
English
2016
43
14
2574
2594
none
Bagnato, L., De Capitani, L., Punzo, A. (2016). The Kullback–Leibler autodependogram. JOURNAL OF APPLIED STATISTICS, 43(14), 2574-2594 [10.1080/02664763.2016.1142943].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/219706
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