Makale detayı · 2021
The Cos-Poisson model with a novel count regression analysis
Hacettepe Journal of Mathematics and Statistics
- Yıl
- 2021
- ISSN
2651-477X- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
In this paper, we propose a new generalization of the Poisson distribution by using the concept of the weighted distribution; a trigonometric weight with the cosine function is used. We derive some distributional properties of the new distribution, such as the cumulative distribution function, moment generating function, factorial moments, and index of dispersion. Then, the related model is considered for modeling purposes, with estimation of the model parameters performed via several methods. Zero-inflated count regression analysis is introduced by using the new distribution. Finally, we provide two applications of the obtained results on practical data sets.
Konular
- Statistical Distribution Estimation and Applications
- Probabilistic and Robust Engineering Design
- Diverse Research Studies Overview
Birincil konu Statistical Distribution Estimation and Applications