English

A hyperbolastic type-I diffusion process: Parameter estimation bymeans of the firefly algorithm

Methodology 2024-02-07 v1 Probability Statistics Theory Statistics Theory

Abstract

A stochastic diffusion process, whose mean function is a hyperbolastic curve of type I, is presented. Themain characteristics of the process are studied and the problem of maximum likelihood estimation forthe parameters of the process is considered. To this end, the firefly metaheuristic optimization algo-rithm is applied after bounding the parametric space by a stagewise procedure. Some examples basedon simulated sample paths and real data illustrate this development.

Keywords

Cite

@article{arxiv.2402.03416,
  title  = {A hyperbolastic type-I diffusion process: Parameter estimation bymeans of the firefly algorithm},
  author = {Antonio Barrera and Patricia Román-Román and Francisco Torres-Ruiz},
  journal= {arXiv preprint arXiv:2402.03416},
  year   = {2024}
}

Comments

26 pages, 13 figures

R2 v1 2026-06-28T14:39:10.898Z