We consider several alternatives to the continuous exponential-Poisson distribution in order to accommodate the occurrence of zeros. Three of these are modifications of the exponential-Poisson model. One of these remains a fully continuous model. The other models we consider are all semi-continuous models, each with a discrete point mass at zero and a continuous density on the positive values. All of the models are applied to two environmental data sets concerning precipitation, and their Bayesian analyses using MCMC are discussed. This discussion covers convergence of the MCMC simulations and model selection procedures and considerations.

中文翻译：

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指数泊松和相关零增广类型模型的贝叶斯分析

我们考虑了连续指数泊松分布的几种替代方案，以适应零点的出现。其中三个是指数泊松模型的修改。其中之一仍然是一个完全连续的模型。我们考虑的其他模型都是半连续模型，每个模型都具有零离散点质量和正值上的连续密度。所有模型都应用于两个有关降水的环境数据集，并讨论了它们使用 MCMC 进行的贝叶斯分析。本讨论涵盖了 MCMC 模拟的收敛性以及模型选择程序和注意事项。