Statistical aspects of birth--and--growth stochastic processes
Applications
2011-09-29 v3
Abstract
The paper considers a particular family of set--valued stochastic processes modeling birth--and--growth processes. The proposed setting allows us to investigate the nucleation and the growth processes. A decomposition theorem is established to characterize the nucleation and the growth. As a consequence, different consistent set--valued estimators are studied for growth process. Moreover, the nucleation process is studied via the hitting function, and a consistent estimator of the nucleation hitting function is derived.
Cite
@article{arxiv.0803.2679,
title = {Statistical aspects of birth--and--growth stochastic processes},
author = {Giacomo Aletti and Enea G. Bongiorno and Vincenzo Capasso},
journal= {arXiv preprint arXiv:0803.2679},
year = {2011}
}
Comments
simpler notations typos