Pseudo-Poisson Distributions with Concomitant Variables

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-01-12 DOI:10.3390/mca28010011

B. Arnold, B. G. Manjunath

引用次数: 0

Abstract

It has been argued in Arnold and Manjunath (2021) that the bivariate pseudo-Poisson distribution will be the model of choice for bivariate data with one equidispersed marginal and the other marginal over-dispersed. This is due to its simple structure, straightforward parameter estimation and fast computation. In the current note, we introduce the effects of concomitant variables on the bivariate pseudo-Poisson parameters and explore the distributional and inferential aspects of the augmented models. We also include a small simulation study and an example of application to real-life data.

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伴随变量的伪泊松分布

Arnold和Manjunath(2021)认为，二元伪泊松分布将是具有一个等分散边缘和另一个过度分散边缘的二元数据的选择模型。这是由于其结构简单，参数估计简单，计算速度快。在当前的笔记中，我们介绍了伴随变量对二元伪泊松参数的影响，并探讨了增广模型的分布和推理方面。我们还包括一个小型模拟研究和一个应用于实际数据的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.