2019
DOI: 10.1007/s11071-019-04974-y
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Dynamic relationship analysis between NAFTA stock markets using nonlinear, nonparametric, non-stationary methods

Abstract: This paper seeks to investigate the dynamic relationship between daily stock market indices in NAFTA countries from 8 November 1991 to 16 March 2018, using for the first time nonlinear, nonparametric, non-stationary methods. We apply two novel nonlinear, nonparametric, non-stationary dynamic correlation techniques-rolling window Spearman correlation and wavelet coherence-to study the relationships between the three pairwise comparisons. We apply a nonlinear, nonparametric causality test to four specific subper… Show more

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Cited by 23 publications
(6 citation statements)
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“…Similar to Polanco-Martínez (2019), to present a dynamic relationship between two variables -the Hurst exponents of the Bitcoin and the MSCI Emerging Markets Index -the rolling window correlation coefficients are estimated. Specifically, the Spearman rank correlation with p-values is exploited, because this is more robust to non-linear relationships of the analysed data series.…”
Section: Methodsmentioning
confidence: 99%
“…Similar to Polanco-Martínez (2019), to present a dynamic relationship between two variables -the Hurst exponents of the Bitcoin and the MSCI Emerging Markets Index -the rolling window correlation coefficients are estimated. Specifically, the Spearman rank correlation with p-values is exploited, because this is more robust to non-linear relationships of the analysed data series.…”
Section: Methodsmentioning
confidence: 99%
“…Furthermore, the MODWT can calculate the variance of the wavelets and their coefficients at different scales, and the variance estimator is asymptotically more efficient [ 43 , 44 ]. Finally, if the financial series are non-linear for different reasons, calculating a linear correlation or linear causality between them could result in non-significant results [ 45 ]. For this last reason, GC-TE provides a good fit due to the nonlinear relationship that could exist between the variables [ 31 , 46 ].…”
Section: Methodsmentioning
confidence: 99%
“…However, it is highly recommendable to try different window lengths, from short, medium, to long sizes (see e.g. [51][52][53] ). For instance, in the example presented in this paper, in addition to the window length of T/8 (168 years), we tried other four window lengths ( M = 42, 84, 337, and 675 years) and the WLMC heat maps for 84 and 337 years are quite similar (whereas the "extreme" M values of 42 and 675 years are not very different) to that of the corresponding one with a value of M = 168 years (results not shown, but can be obtained through the R code included in the Supplementary Information (Material) or upon request to the corresponding author).…”
Section: Definition and Estimation Of The Wavelet Local Multiple Corrmentioning
confidence: 99%