双参数广义膨胀泊松分布:性质与应用

Q Mathematics

Statistical Methodology Pub Date : 2016-03-01 DOI:10.1016/j.stamet.2015.10.002

Athanasios C. Rakitzis , Philippe Castagliola , Petros E. Maravelakis

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引用次数: 9

摘要

在这项工作中，我们提出并研究了一种适用于非典型计数数据建模的普通泊松分布的双参数修正。这个模型可以看作是零膨胀泊松分布的扩展。我们将提出的模型作为一般模型的一个特例来推导，并重点研究它。给出了各模型的理论性质，并讨论了双参数模型的估计方法。三个实际的例子说明了它的用处。结果表明，该模型在对各种类型的计数数据进行建模时非常灵活。

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A two-parameter general inflated Poisson distribution: Properties and applications

In this work, we propose and study a two-parameter modification of the ordinary Poisson distribution that is suitable for the modeling of non-typical count data. This model can be viewed as an extension of the zero-inflated Poisson distribution. We derive the proposed model as a special case of a general one and focus our study on it. The theoretical properties for each model are given, while estimation methods for the two-parameter model are discussed as well. Three practical examples illustrate its usefulness. The results show that the proposed model is very flexible in the modeling of various types of count data.

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来源期刊

Statistical Methodology STATISTICS & PROBABILITY-

CiteScore

0.59

自引率

0.00%

发文量

期刊介绍： Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.