论文标题

计数数据的过渡模型:固定分布模型的灵活替代品

Transition Models for Count Data: a Flexible Alternative to Fixed Distribution Models

论文作者

Berger, Moritz, Tutz, Gerhard

论文摘要

引入了灵活的半参数类模型,该类别为计数数据作为泊松和负二项式模型提供了经典回归模型的替代方案,以及更通用的模型,该模型占了基于固定分布假设的多余零。该模型允许数据本身确定响应变量的分布,但是,以其基本形式,使用一个参数项,指定解释变量的效果。此外,考虑了扩展版本,其中非参数指定协变量的效果。通过利用多个实际数据应用程序比较了提出的模型和传统模型。

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that are also based on fixed distributional assumptions. The model allows that the data itself determine the distribution of the response variable, but, in its basic form, uses a parametric term that specifies the effect of explanatory variables. In addition, an extended version is considered, in which the effects of covariates are specified nonparametrically. The proposed model and traditional models are compared by utilizing several real data applications.

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