Analysis of Ozone Behaviour in the City of Puebla-Mexico Using Non-Homogeneous Poisson Models with Multiple Change-Points

作     者：Juan Antonio Cruz-Juárez Hortensia Reyes-Cervantes Eliane R. Rodrigues Juan Antonio Cruz-Juárez;Hortensia Reyes-Cervantes;Eliane R. Rodrigues

作者机构：Facultad de Ciencias Fisico-Matemáticas Benemérita Universidad Autónoma de Puebla Puebla Mexico Instituto de Matemáticas Universidad Nacional Autónoma de México Mexico City Mexico 

出 版 物：《Journal of Environmental Protection》 (环境保护（英文）)

年 卷 期：2016年第7卷第12期

页      面：1886-1903页

学科分类：0202[经济学-应用经济学] 02[经济学] 020205[经济学-产业经济学] 

主　　题：Non-Homogeneous Poisson Model Markov Chain Monte Carlo Methods Bayesian Inference Ozone Air Pollution City of Puebla 

摘      要：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.