SMILE

Stochastic Models for the Inference of Life Evolution

On computer-intensive simulation and estimation methods for rare-event analysis in epidemic models

Clémençon, S., Cousien, A., Dávila Felipe, M., Tran, V.

Statistics in Medicine

2015

This article focuses, in the context of epidemic models, on rare events that may possibly correspond to crisis situations from the perspective of public health. In general, no close analytic form for their occurrence probabilities is available, and crude Monte Carlo procedures fail. We show how recent intensive computer simulation techniques, such as interacting branching particle methods, can be used for estimation purposes, as well as for generating model paths that correspond to realizations of such events. Applications of these simulation-based methods to several epidemic models fitted from real datasets are also considered and discussed thoroughly.

Bibtex

@article{clemencon_computer-intensive_2015,
Author = {Clémençon, Stéphan and Cousien, Anthony and Dávila Felipe,
Miraine and Tran, Viet Chi},
Title = {On computer-intensive simulation and estimation
methods for rare-event analysis in epidemic models},
Journal = {Statistics in Medicine},
Volume = {34},
Number = {28},
Pages = {3696--3713},
Keywords = {genetic models, importance sampling, interacting
branching particle system, Monte Carlo simulation,
multilevel splitting, rare-event analysis, stochastic
epidemic model},
abstract = {This article focuses, in the context of epidemic
models, on rare events that may possibly correspond to
crisis situations from the perspective of public
health. In general, no close analytic form for their
occurrence probabilities is available, and crude Monte
Carlo procedures fail. We show how recent intensive
computer simulation techniques, such as interacting
branching particle methods, can be used for estimation
purposes, as well as for generating model paths that
correspond to realizations of such events. Applications
of these simulation-based methods to several epidemic
models fitted from real datasets are also considered
and discussed thoroughly.},
copyright = {Copyright © 2015 John Wiley \& Sons, Ltd.},
doi = {10.1002/sim.6596},
issn = {1097-0258},
language = {en},
month = jan,
url = {http://onlinelibrary.wiley.com/doi/10.1002/sim.6596/abstract},
urldate = {2015-08-27},
year = 2015
}

Link to the article

Accéder à l'article grâce à son DOI.