Abstract
In this paper, we propose three new “distance” measures which are the adjustments of Euclidean distance. First two are given for one-dimensional space, and the third one—called tube distance—provides the generalization for multidimensional case. New measures take into account points lying between those for which we calculate the distance as well as points lying in the close neighbourhood of the ones considered. The aim of the paper is to present the idea together with some basic simulation studies under uniform and standard normal generating distributions.
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Acknowledgements
The authors acknowledge support from the National Science Centre in Poland (grant no. 2015/17/B/HS4/01021) and research funds granted to the Faculty of Management at Cracow University of Economics, within the framework of the subsidy for the maintenance of research potential.
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Sokolowski, A., Markowska, M., Denkowska, S., Rozkrut, D. (2020). How To Cross the River? New “Distance” Measures. In: Imaizumi, T., Okada, A., Miyamoto, S., Sakaori, F., Yamamoto, Y., Vichi, M. (eds) Advanced Studies in Classification and Data Science. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Singapore. https://doi.org/10.1007/978-981-15-3311-2_20
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DOI: https://doi.org/10.1007/978-981-15-3311-2_20
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