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The autodependogram: a graphical device to investigate serial dependences

In this article the serial dependences between the observed time series and the lagged series, taken into account one‐by‐one, are graphically analysed by what we have chosen to call the ‘autodependogram’. This tool is a sort of natural nonlinear counterpart of the well‐known autocorrelogram used in the linear context. The autodependogram is based on the simple idea of using, instead of autocorrelations at varying time lags, the χ2‐test statistics applied to convenient contingency tables. The efficacy of this graphical device is confirmed by real and artificial time series and by simulations from certain classes of well‐known models, characterized by randomness and by different kinds of linear and nonlinear dependences.