MODELLING ZERO-INFLATED COUNT DATA WITH A SPECIAL CASE OF THE GENERALISED POISSON DISTRIBUTION

Calderin-Ojeda Enrique; Gomez-Deniz Emilio; Barranco-Chamorro Inmaculada

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MODELLING ZERO-INFLATED COUNT DATA WITH A SPECIAL CASE OF THE GENERALISED POISSON DISTRIBUTION

机译：用广义泊松分布的特殊情况对零影响的计数数据建模

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A one-parameter version of the generalised Poisson distribution provided by Consul and Jain (1973) is considered in this paper. The distribution is uni- modal with a zero vertex and over-dispersed. A generalised linear model related to this distribution is also presented. Its parameters can be estimated by using a Fisher-Scoring algorithm which is equivalent to iteratively reweighted least squares. Due to its flexibility and capacity to describe highly skewed data with an excessive number of zeros, the model is suitable to be applied in insurance settings as an alternative to the negative binomial and zero-inflated model.

机译：本文考虑了Consul和Jain（1973）提供的广义Poisson分布的一参数版本。分布是单峰的，顶点为零，并且过度分散。还介绍了与此分布有关的广义线性模型。可以通过使用Fisher-Scoring算法估算其参数，该算法等效于迭代地加权最小二乘。由于它的灵活性和能力来描述带有大量零的高度偏斜的数据，因此该模型适用于保险设置，作为负二项式和零膨胀模型的替代方法。

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来源
《Astin bulletin》 |2019年第3期|689-707|共19页
作者
Calderin-Ojeda Enrique; Gomez-Deniz Emilio; Barranco-Chamorro Inmaculada;
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作者单位

Univ Melbourne Ctr Actuarial Studies Dept Econ Melbourne Vic 3010 Australia;

Univ Las Palmas Gran Canaria Dept Quantitat Methods Las Palmas Gran Canaria 35017 Spain|Univ Las Palmas Gran Canaria Inst Tourism & Sustainable Econ Dev TIDES Las Palmas Gran Canaria 35017 Spain;

Univ Seville Fac Matemat Dept Matemat & RO E-41012 Seville Spain;

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正文语种 eng
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Zero-inflated count data; generalised linear models; generalised Poisson distribution; automobile insurance; fisher-scoring algorithm; randomised quantile residuals;

机译：零膨胀计数数据;广义线性模型;广义泊松分布汽车保险;费舍尔评分算法;随机分位数残差;

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1. Marginal regression models for clustered count data based on zero-inflated Conway-Maxwell-Poisson distribution with applications [J] . Choo-Wosoba Hyoyoung, Levy Steven M., Datta Somnath Biometrics: Journal of the Biometric Society : An International Society Devoted to the Mathematical and Statistical Aspects of Biology . 2016,第2期

机译：基于零膨胀Conway-Maxwell-Poisson分布的聚类计数数据的边际回归模型及其应用
2. Analyzing clustered count data with a cluster-specific random effect zero-inflated Conway-Maxwell-Poisson distribution [J] . Choo-Wosoba Hyoyoung, Datta Somnath Journal of applied statistics . 2018,第5a8期

机译：使用特定于群集的随机效应零膨胀的Conway-Maxwell-Poisson分布分析群集计数数据
3. Modelling count data with excessive zeros: the need for class prediction in zero-inflated models and the issue of data generation in choosing between zero-inflated and generic mixture models for dental caries data. [J] . Gilthorpe MS, Frydenberg M, Cheng Y Statistics in medicine . 2009,第28期

机译：对具有过多零的计数数据进行建模：零膨胀模型中需要进行类别预测，以及在龋齿数据的零膨胀模型和通用混合物模型之间进行选择时需要生成数据。
4. Normalization of Spectral Count Data Using a Zero-Inflated Poisson Regression Model [C] . Douglas W. Mahoney, Ann L. Oberg, Patrick S. Quint, ASMS Conference on Mass Spectrometry and Allied Topics . 2008

机译：使用零充气泊松回归模型的光谱计数数据标准化
5. Using Zero-Inflated Poisson Model and Zero-Inflated Negative Binomial model on Dental Services of Wisconsin, 2014 Data [D] . Xu, Ke. 2020

机译：使用零充气泊松模型和零膨胀的负二项式模型在威斯康星州威斯康辛，2014年数据
6. Marginal Regression Models for Clustered Count Data Based on Zero-Inflated Conway-Maxwell-Poisson Distribution with Applications [O] . Hyoyoung Choo-Wosoba, Steven M. Levy, Somnath Datta -1

机译：基于零膨胀Conway-Maxwell-Poisson分布的聚类计数数据的边际回归模型及其应用
7. Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros [O] . Wang, Kui, Lee, Andy H, Scott, Jane Anne, 2006

机译：多级零膨胀泊松回归具有多余零的相关计数数据的建模

MODELLING ZERO-INFLATED COUNT DATA WITH A SPECIAL CASE OF THE GENERALISED POISSON DISTRIBUTION

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