Institute of Information Theory and Automation

Publication details

Finite sample properties of power-law cross-correlations estimators

Journal Article

Krištoufek Ladislav

serial: Physica. A : Statistical Mechanics and its Applications vol.419, 1 (2015), p. 513-525

project(s): GP14-11402P, GA ČR

keywords: power-law cross-correlations, long-term memory, econophysics

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abstract (eng):

We study finite sample properties of estimators of power-law cross-correlations – detrended cross- correlation analysis (DCCA), height cross-correlation analysis (HXA) and detrending moving- average cross-correlation analysis (DMCA) – with a special focus on short-term memory bias as well as power-law coherency. Presented broad Monte Carlo simulation study focuses on different time series lengths, specific methods’ parameter setting, and memory strength. We find that each method is best suited for different time series dynamics so that there is no clear winner between the three. The method selection should be then made based on observed dynamic properties of the analyzed series.


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Institute of Information Theory and Automation