English

3s-Unification for Vehicular Headway Modeling

Physics and Society 2018-11-14 v1 Adaptation and Self-Organizing Systems Data Analysis, Statistics and Probability

Abstract

We explain why a sampling (division of data into homogenous sub-samples), segmentation (selection of sub-samples belonging to a small sub-area in ID plane - a segmentation zone), and scaling (a linear transformation of random variables representing a standard sub-routine in a general scheme of an unfolding procedure) are necessary parts of any vehicular data investigations. We demonstrate how representative traffic micro-quantities (in an unified representation) are changing with a location of a segmentation zone. It is shown that these changes are non-trivial and correspond fully to some previously-published results. Furthermore, we present a simple mathematical technique for the unification of GIG-distributed random variables.

Keywords

Cite

@article{arxiv.1811.05325,
  title  = {3s-Unification for Vehicular Headway Modeling},
  author = {Milan Krbalek and Michaela Krbalkova},
  journal= {arXiv preprint arXiv:1811.05325},
  year   = {2018}
}

Comments

14 pages with 7 figures

R2 v1 2026-06-23T05:14:02.983Z