English

Using Fermat-Torricelli points in assessing investment risks

Risk Management 2024-08-20 v1

Abstract

The use of Fermat-Torricelli points can be an effective mathematical tool for analyzing numerical series that have a large variance, a pronounced nonlinear trend, or do not have a normal distribution of a random variable. Linear dependencies are very rare in nature. Smoothing numerical series by constructing Fermat-Torricelli points reduces the influence of the random component on the final result. The presence of a normal distribution of a random variable for numerical series that relate to long time intervals is an exception to the rule rather than an axiom. The external environment (international economic relations, scientific and technological progress, political events) is constantly changing, which in turn, in general, does not give grounds to assert that under these conditions a random variable satisfies the requirements of the Gauss-Markov theorem.

Keywords

Cite

@article{arxiv.2408.09267,
  title  = {Using Fermat-Torricelli points in assessing investment risks},
  author = {Sergey Yekimov},
  journal= {arXiv preprint arXiv:2408.09267},
  year   = {2024}
}

Comments

14 pages , 3 figures

R2 v1 2026-06-28T18:15:37.290Z