New zero-inflated regression models with a variant of censoring

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
Y. Altinisik, E. Çankaya
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引用次数: 0

Abstract

. There is ever growing demand of modeling overdispersed count data generated by various disiplines. Excessive number of zeros and heterogeneity in the population are two main sources of the overdispersion problem. Development of new count models that are more flexible than conventional Poisson model is thus necessary in order to address such sources. This study fullfils this need by proposing a new heterogeneous Poisson model with a capture of excess zeros, namely zero-inflated Poisson-Ailamujia (ZIPA) model. In line with the aim of curing overdispersion, a censored variant of this newly suggested model is also here developed. An extensive simulation study is conducted to assess the performances of both forms of new models in terms of bias, precision and accuracy measures. Additionally, two real world applications are presented to illustrate practical implications of zero-inflated (censored) Poisson-Ailamujia models in comparison to some alternatives.
新的零膨胀回归模型与一个变体的审查
对由各种学科产生的过度分散计数数据进行建模的需求越来越大。过多的零和种群中的异质性是过度分散问题的两个主要来源。因此,有必要开发比传统泊松模型更灵活的新计数模型,以解决此类来源的问题。本研究通过提出一种新的具有过量零捕获的异质泊松模型,即零膨胀泊松-艾拉穆贾(ZIPA)模型来满足这一需求。为了解决过度分散的问题,这里还开发了这个新提出的模型的截尾变体。进行了广泛的模拟研究,以评估两种形式的新模型在偏差、精度和准确性方面的性能。此外,还介绍了两个现实世界中的应用,以说明与一些替代方案相比,零膨胀(删失)Poisson-Ailamujia模型的实际意义。
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
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
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