Entropy-Based Tests for Complex Dependence in Economic and Financial Time Series with the R Package tseriesEntropy

Simone Giannerini and Greta Goracci ()
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Greta Goracci: Faculty of Economics and Management, Free University of Bozen-Bolzano, 39100 Bolzano, Italy

Mathematics, 2023, vol. 11, issue 3, 1-27

Abstract: Testing for complex serial dependence in economic and financial time series is a crucial task that bears many practical implications. However, the linear paradigm remains pervasive among practitioners as the autocorrelation function, because, despite its known shortcomings, it is still one of the most used tools in time series analysis. We propose a solution to the problem, by introducing the R package tseriesEntropy, dedicated to testing for serial/cross dependence and nonlinear serial dependence in time series, based on the entropy metric S ρ . The package implements tests for both continuous and categorical data. The nonparametric tests, based on S ρ , rely on minimal assumptions and have also been shown to be powerful for small sample sizes. The measure can be used as a nonlinear auto/cross-dependence function, both as an exploratory tool, or as a diagnostic measure, if computed on the residuals from a fitted model. Different null hypotheses of either independence or linear dependence can be tested by means of resampling methods, backed up by a sound theoretical background. We showcase our methods on a panel of commodity price time series. The results hint at the presence of a complex dependence in the conditional mean, together with conditional heteroskedasticity, and indicate the need for an appropriate nonlinear specification.

Keywords: nonlinear time series; entropy; Hellinger distance; testing for nonlinear serial dependence; bootstrap; surrogate time series; tseriesEntropy; commodity prices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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