The autodependogram is a graphical device recently proposed in the literature to analyze autodependencies. It is defined computing the classical Pearson chi-square 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 chi-square 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., The Kullback–Leibler autodependogram, <<JOURNAL OF APPLIED STATISTICS>>, N/A; (43)14 (N/A): 2574-2594. [doi:10.1080/02664763.2016.1142943] [http://hdl.handle.net/10807/76082]
Autori: | |
Titolo: | The Kullback–Leibler autodependogram |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/02664763.2016.1142943 |
Data di pubblicazione: | 2016 |
Abstract: | The autodependogram is a graphical device recently proposed in the literature to analyze autodependencies. It is defined computing the classical Pearson chi-square 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 chi-square 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. |
Lingua: | Inglese |
Rivista: | |
Citazione: | Bagnato, L., De Capitani, L., Punzo, A., The Kullback–Leibler autodependogram, <<JOURNAL OF APPLIED STATISTICS>>, N/A; (43)14 (N/A): 2574-2594. [doi:10.1080/02664763.2016.1142943] [http://hdl.handle.net/10807/76082] |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |