English

Analysis and application of multiplicative stochastic process with a sample-dependent lower bound

Data Analysis, Statistics and Probability 2024-01-19 v1 Physics and Society

Abstract

A multiplicative stochastic process with the lower bound lognormally distributed is investigated. For the process, the model is constructed, and its distribution function (involving four parameters) and the related statistical properties are derived. By adjusting the parameters, it is confirmed that the theoretical distribution is consistent with empirical distributions of some real data.

Keywords

Cite

@article{arxiv.2203.06812,
  title  = {Analysis and application of multiplicative stochastic process with a sample-dependent lower bound},
  author = {Ken Yamamoto and Yoshihiro Yamazaki},
  journal= {arXiv preprint arXiv:2203.06812},
  year   = {2024}
}

Comments

10 pages, 8 figures

R2 v1 2026-06-24T10:11:47.541Z