International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Presentation of Coupling Analysis Techniques of Maximum and Minimum Values Between N Sets of Data Using Matrix [µ][MKN]

K. N. Makris
Department of Mathematics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografou, Greece.

I. Vonta
Department of Mathematics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografou, Greece.

DOI https://doi.org/10.33889/IJMEMS.2021.6.4.067

Received on February 02, 2021
  ;
Accepted on June 23, 2021

Abstract

This paper deals with the presentation and study of alternative coupling techniques for maximum and minimum values between data sets, namely the problem which is examined in this work is the possible appearance of maximum or minimum values between data sets in the same or neighboring time points. The data can be time-dependent (time series) or non-time-dependent. In this work, the analysis is focused on time series and novel indices are defined in order to measure whether the values of N sets of data display in terms of time, the maximum or minimum values at the same instances or at very close instances. For this purpose, two methods will be compared, one direct method and one indirect method. The indirect method is based on Matrices of dimensionless indicators which are denoted by [μ][MKN], and the direct method is based on a variance-type measure which is denoted by [V][MKN].

Keywords- Coupling techniques, Time series, Indices, Index matrix [μ][MKN].

Citation

Makris, K. N., & Vonta, I. (2021). Presentation of Coupling Analysis Techniques of Maximum and Minimum Values Between N Sets of Data Using Matrix [µ][MKN]. International Journal of Mathematical, Engineering and Management Sciences, 6(4), 1127-1136. https://doi.org/10.33889/IJMEMS.2021.6.4.067.

Conflict of Interest

The authors declare that there is no conflict of interest in the article contents.

Acknowledgements

The authors wish to express their appreciation to the anonymous reviewers for their valuable and constructive comments that greatly improved the quality of the manuscript. This work is part of the Doctoral Thesis of the first author. The first author wishes to acknowledge the financial support from the Papakyriakopoulos scholarship, of the Dept. of Mathematics of the National Technical University of Athens.

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