Cascade sizes in a branching process with Gamma distributed generations
Probability
2013-04-16 v1
Abstract
We derive an exact expression for the probability density function of the cascade size (total progeny) in a continuous state branching process when the generations are Gamma distributed. The distribution has application in the modelling of cascade processes such as landslides and electrical network failures.
Cite
@article{arxiv.1304.3741,
title = {Cascade sizes in a branching process with Gamma distributed generations},
author = {James Burridge},
journal= {arXiv preprint arXiv:1304.3741},
year = {2013}
}