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Non-homogeneous Poisson models with a change-point: an application to ozone peaks in Mexico city

机译:具有变化点的非均匀泊松模型:在墨西哥城臭氧峰中的应用

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摘要

In this paper, we use some non-homogeneous Poisson models in order to study the behavior of ozone measurements in Mexico City. We assume that the number of ozone peaks follows a non-homogeneous Poisson process. We consider four types of rate function for the Poisson process: power law, Musa–Okumoto, Goel–Okumoto, and a generalized Goel–Okumoto rate function. We also assume that a change-point may or may not be present. The analysis of the problem is performed by using a Bayesian approach via Markov chain Monte Carlo methods. The best model is chosen using the DIC criterion as well as graphical approach.
机译:在本文中,我们使用一些非均匀泊松模型来研究墨西哥城臭氧测量的行为。我们假设臭氧峰的数量遵循非均匀的泊松过程。我们考虑了泊松过程的四种速率函数:幂律,Musa-Okumoto,Goel-Okumoto和广义Goel-Okumoto速率函数。我们还假设可能存在或可能不存在变更点。通过使用马尔可夫链蒙特卡洛方法的贝叶斯方法对问题进行分析。使用DIC标准以及图形方法选择最佳模型。

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