In this paper, we consider a class of piecewise-deterministic Markov processes modeling the quantity of a given food contaminant in the body. On the one hand, the amount of contaminant increases with random food intakes and, on the other hand, decreases thanks to the release rate of the body. Our aim is to provide quantitative speeds of convergence to equilibrium for the total variation and Wasserstein distances via coupling methods.
DOI : 10.1051/ps/2015002
Mots clés : Piecewise deterministic Markov processes, coupling, renewal Markov processes, convergence to equilibrium, exponential ergodicity, dietary contamination
@article{PS_2015__19__482_0, author = {Bouguet, Florian}, title = {Quantitative speeds of convergence for exposure to food contaminants}, journal = {ESAIM: Probability and Statistics}, pages = {482--501}, publisher = {EDP-Sciences}, volume = {19}, year = {2015}, doi = {10.1051/ps/2015002}, zbl = {1343.60110}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ps/2015002/} }
TY - JOUR AU - Bouguet, Florian TI - Quantitative speeds of convergence for exposure to food contaminants JO - ESAIM: Probability and Statistics PY - 2015 SP - 482 EP - 501 VL - 19 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ps/2015002/ DO - 10.1051/ps/2015002 LA - en ID - PS_2015__19__482_0 ER -
Bouguet, Florian. Quantitative speeds of convergence for exposure to food contaminants. ESAIM: Probability and Statistics, Tome 19 (2015), pp. 482-501. doi : 10.1051/ps/2015002. http://www.numdam.org/articles/10.1051/ps/2015002/
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