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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 2

Poisson and negative binomial regression models for zero-inflated data: an experimental study

Gizem Yıldırım(Social Security Institution)0000-0002-1333-788X
Selahattin Kaçıranlar(CUKUROVA UNIVERSITY)0000-0003-0678-7935
Hasan Yıldırım(KARAMANOGLU MEHMETBEY UNIVERSITY)0000-0003-4582-9018
Sayfa
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Yayın Tarihi
2022-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the experimental results suggested that models except the classical models should be considered as powerful alternatives for modelling count and give better insights to the researchers in applying statistics on working similar data structures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Count data regression has been widely used in various disciplines, particularly health area.
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Temel Bulgular & Veri:Classical models like Poisson and negative binomial regression may not provide reasonable performance in the presence of excessive zeros and overdispersion problems.
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Sonuç & Katkı:Finally, the experimental results suggested that models except the classical models should be considered as powerful alternatives for modelling count and give better insights to the researchers in applying statistics on working similar data structures.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Poisson regression · negative binomial regression · zero inflated regression

Abstract

Count data regression has been widely used in various disciplines, particularly health area. Classical models like Poisson and negative binomial regression may not provide reasonable performance in the presence of excessive zeros and overdispersion problems. Zero-inflated and Hurdle variants of these models can be a remedy for dealing with these problems. As well as zero-inflated and Hurdle models, alternatives based on some biased estimators like ridge and Liu may improve the performance against to multicollinearity problem except excessive zeros and overdispersion. In this study, ten different regression models including classical Poisson and negative binomial regression with their variants based on zero-inflated, Hurdle, ridge and Liu approaches have been compared by using a health data. Some criteria including Akaike information criterion, log-likelihood value, mean squared error and mean absolute error have been used to investigate the performance of models. The results show that the zero-inflated negative binomial regression model provides the best fit for the data. The final model estimations have been obtained via this model and interpreted in detail. Finally, the experimental results suggested that models except the classical models should be considered as powerful alternatives for modelling count and give better insights to the researchers in applying statistics on working similar data structures.

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Bu Makaleye Atıf Yap

Yıldırım, G., Kaçıranlar, S., Yıldırım, H. (2022). Poisson and negative binomial regression models for zero-inflated data: an experimental study. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 2. https://doi.org/10.31801/cfsuasmas.988880

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