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Detrended multiple cross-correlation coefficient with sliding windows approach

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Abstract In this paper we implemented the detrended multiple cross-correlation coefficient with sliding windows approach in order to measure multiple cross-correlation between time series as a function of time scale… Click to show full abstract

Abstract In this paper we implemented the detrended multiple cross-correlation coefficient with sliding windows approach in order to measure multiple cross-correlation between time series as a function of time scale n , and a sliding time τ . Faced with several non-stationary time series, a fixed size window will be defined by w , and the coefficients D M C x 2 are calculated for different time scales ( 4 ≤ n ≤ w 4 ) and time τ . Following this methodology, it was possible to set up a D M C x 2 cross-correlation color map for a simulated (random) and an empirical case. This new color map with sliding windows shows the time scale and the current day for a cross-correlation analysis. In this way, it is possible to analyze the multiple cross-correlation between three or more variables in different areas of knowledge, such as economics and finance.

Keywords: multiple cross; time; cross correlation; cross; sliding windows

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2021

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