Bapat, Sudeep R. An alternative measure of positive correlation for bivariate time series. (English) Zbl 1490.62227 Commun. Stat., Simulation Comput. 51, No. 6, 3252-3258 (2022). Summary: S. Nadarajah et al. [Int. J. Math. Educ. Sci. Technol. 50, No. 4, 642–645 (2019; Zbl 1475.97044)] have recently proposed an alternative measure for positive correlation between two variables of interest say \(X\) and \(Y\). This takes into account the idea of concordance or association between the two variables. They have made use of extensive illustrations including a series of confidence intervals to show the applicability and interpretation of their proposed measure. In this work, we propose an alternative measure for positive correlation between integrated time series processes. We support this idea through simulated examples and real data illustrations from climatology and finance. MSC: 62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH) 62H20 Measures of association (correlation, canonical correlation, etc.) Keywords:auto-regressive; bivariate; correlation; non-stationarity; time series Citations:Zbl 1475.97044 Software:R PDFBibTeX XMLCite \textit{S. R. Bapat}, Commun. Stat., Simulation Comput. 51, No. 6, 3252--3258 (2022; Zbl 1490.62227) Full Text: DOI References: [1] Bapat, S. R., A new correlation for bivariate time series with a higher order of integration, Communications in Statistics - Simulation and Computation (2018) · Zbl 1489.62267 [2] Erdem, O.; Ceyhan, E.; Varli, Y., A new correlation coefficient for bivariate time series data, Physica A: Statistical Mechanics and Its Applications, 414, 274-84 (2014) · Zbl 1395.62266 [3] Nadarajah, S.; Chu, J.; Chan, S., An alternative measure of positive correlation, International Journal of Mathematical Education in Science and Technology, 50, 4, 642-645 (2018) · Zbl 1475.97044 [4] Pfaff, B., Analysis of Integrated and Cointegrated Time Series with R (2008), New York, NY: Springer Publishing Company, New York, NY · Zbl 1165.62068 [5] Zebende, G. F., DCCA cross-correlation coefficient: Quantifying level of cross-correlation, Physica A, 390, 4, 614-8 (2011) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.