Performance evaluation of estimators in the presence of outliers or omitted predictors: A study on the Poisson-Exponential regression model
Yazarlar (2)
Doç. Dr. Yasin ALTINIŞIK Sinop Üniversitesi, Türkiye
Doç. Dr. Demet HAN AYDIN Sinop Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Communications in Statistics Simulation and Computation (Q3)
Dergi ISSN 0361-0918 Dergi Bilgileri (2025)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 04-2025
Kabul Tarihi 05-10-2023 Yayınlanma Tarihi 30-10-2023
Cilt / Sayı / Sayfa 54 / 4 / 1038–1075 DOI 10.1080/03610918.2023.2270184
Makale Linki https://www.tandfonline.com/doi/full/10.1080/03610918.2023.2270184
UAK Araştırma Alanları
İstatistiksel Analiz
Özet
The Poisson regression model is vulnerable for overdispersion in the data when estimating model parameters and their standard errors. Overdispersion may occur due to outliers in the data and/or removal of important predictors from the model. This paper employs a regression model that can be used to better cope with outliers and omitted predictor bias in count data compared to the Poisson regression model, namely the Poisson exponential (PE) model which is a reparameterization of the geometric regression model. Along with investigating the distributional properties of the PE distribution, the usual maximum likelihood (ML-I), maximum likelihood with Expectation-maximization algorithm (ML-II), least-square (LS), weighted least-square (WLS), least-absolute deviation (LAD), weighted least-absolute deviation (WLAD), and Cramer-von mises (CVM) estimation methods are utilized in the context of the PE …
Anahtar Kelimeler
Count data | Omitted predictors | Outliers | Overdispersion | Poisson exponential model
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 1
Scopus 1
Google Scholar 1
Performance evaluation of estimators in the presence of outliers or omitted predictors: A study on the Poisson-Exponential regression model

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