Analysis and application of multiplicative stochastic process with a sample-dependent lower bound
arXiv:2203.06812 · doi:10.7566/JPSJ.91.064803
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.
arXiv comment10 pages, 8 figures
References in corpus (8)
- Power-law distributions in empirical data
- Power laws, Pareto distributions and Zipf's law
- Power Laws are Logarithmic Boltzmann Laws
- Power Law Tails in the Italian Personal Income Distribution
- Stochastic multiplicative processes with reset events
- Power-law size distributions in geoscience revisited
- Runaway Events Dominate the Heavy Tail of Citation Distributions
- A solvable model of fracture with power-law distribution of fragment sizes