2019
DOI: 10.3390/e21070684
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Quantifying the Multiscale Predictability of Financial Time Series by an Information-Theoretic Approach

Abstract: Making predictions on the dynamics of time series of a system is a very interesting topic. A fundamental prerequisite of this work is to evaluate the predictability of the system over a wide range of time. In this paper, we propose an information-theoretic tool, multiscale entropy difference (MED), to evaluate the predictability of nonlinear financial time series on multiple time scales. We discuss the predictability of the isolated system and open systems, respectively. Evidence from the analysis of the logis… Show more

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Cited by 16 publications
(12 citation statements)
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References 39 publications
(45 reference statements)
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“…The travel time, delay, number of stops, number of vehicles, CO emissions, and fuel consumption are evaluated for various traffic situations. The EEM is widely used in evaluating and calculating plans of multiple elements, such as physics [ 47 ], information [ 48 ], medical science [ 49 , 50 ], business [ 51 ], environment [ 52 ], statistics [ 53 ], finance [ 54 ] and other interdisciplinary subjects [ 55 , 56 ]. This is the first time to introduce EEM into transportation evaluation, which could judge the plans synthetically instead of several indexes separately.…”
Section: Introductionmentioning
confidence: 99%
“…The travel time, delay, number of stops, number of vehicles, CO emissions, and fuel consumption are evaluated for various traffic situations. The EEM is widely used in evaluating and calculating plans of multiple elements, such as physics [ 47 ], information [ 48 ], medical science [ 49 , 50 ], business [ 51 ], environment [ 52 ], statistics [ 53 ], finance [ 54 ] and other interdisciplinary subjects [ 55 , 56 ]. This is the first time to introduce EEM into transportation evaluation, which could judge the plans synthetically instead of several indexes separately.…”
Section: Introductionmentioning
confidence: 99%
“…In this study, we use two estimators which fall into the above two categories, entropy difference [ 18 ] belonging to the “plug in” class, and the new estimator we propose belonging to the Lempel–Ziv class).…”
Section: Methodsmentioning
confidence: 99%
“…The paper is organized as follows. In the Methodology section, we introduce two predictability estimators which measure the magnitude of predictability of time series, [ 18 ] and proposed in this paper, and a prediction algorithm EEMD-FFH. In the Numerical Simulation section, we apply these two estimators to the artificial simulation numerical analysis, the logistic map.…”
Section: Introductionmentioning
confidence: 99%
“…Zhao et al proposed the multiscale entropy difference (MED) to assess the predictability of nonlinear financial time series on several time scales [ 3 ]. MED quantifies the contributions of the past values by reducing the uncertainty of the forthcoming values in signals on several time scales.…”
Section: New Developments In Entropy-based Measuresmentioning
confidence: 99%