论文标题
用一个泊松条件的分布的统计推断
Statistical Inference for distributions with one Poisson conditional
论文作者
论文摘要
可以回忆说，经典的双变量正常分布具有正常的边缘和正常条件。自然要问是否涉及涉及泊松边际和条件的类似现象。参考Arnold，Castillo和Sarabia（1999）关于条件指定模型的书将证实，只有在变量是独立的情况下，才会遇到Poisson边缘的边缘，这两个条件是Poisson形式的。取而代之的是，在本文中，我们将重点关注一个边际和另一个有条件家庭的双变量分布。这样的分布称为伪波森分布。我们讨论了此类模型的分布特征，探索推论方面，并包括伪poisson模型的应用示例到过度分散数据集中。
It will be recalled that the classical bivariate normal distributions have normal marginals and normal conditionals. It is natural to ask whether a similar phenomenon can be encountered involving Poisson marginals and conditionals. Reference to Arnold, Castillo and Sarabia's (1999) book on conditionally specified models will confirm that Poisson marginals will be encountered, together with both conditionals being of the Poisson form, only in the case in which the variables are independent. Instead, in the present article we will be focusing on bivariate distributions with one marginal and the other family of conditionals being of the Poisson form. Such distributions are called Pseudo-Poisson distributions. We discuss distributional features of such models, explore inferential aspects and include an example of applications of the Pseudo-Poisson model to sets of over-dispersed data.
