TITLE:
Analysis of Ozone Behaviour in the City of Puebla-Mexico Using Non-Homogeneous Poisson Models with Multiple Change-Points
AUTHORS:
Juan Antonio Cruz-Juárez, Hortensia Reyes-Cervantes, Eliane R. Rodrigues
KEYWORDS:
Non-Homogeneous Poisson Model, Markov Chain Monte Carlo Methods, Bayesian Inference, Ozone Air Pollution, City of Puebla
JOURNAL NAME:
Journal of Environmental Protection,
Vol.7 No.12,
November
25,
2016
ABSTRACT: In this work, some non-homogeneous
Poisson models are considered to study the behaviour of ozone in the city of
Puebla, Mexico. Several functions are used as the rate function for the
non-homogeneous Poisson process. In addition to their dependence on time, these
rate functions also depend on some parameters that need to be estimated. In
order to estimate them, a Bayesian approach will be taken. The expressions for
the distributions of the parameters involved in the models are very complex. Therefore,
Markov chain Monte Carlo algorithms are used to estimate them. The methodology
is applied to the ozone data from the city of Puebla, Mexico.