Bayesian Inference for the Negative Binomial-Sushila Linear Model
- Авторы: Yamrubboon D.1, Thongteeraparp A.1, Bodhisuwan W.1, Jampachaisri K.2, Volodin A.3
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Учреждения:
- Department of Statistics
- Department of Mathematics
- Department of Mathematics and Statistics
- Выпуск: Том 40, № 1 (2019)
- Страницы: 42-54
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203746
- DOI: https://doi.org/10.1134/S1995080219010141
- ID: 203746
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Аннотация
The aim of this article is to develop a new linear model for count data. The main idea is in an application of a new generalized linear model framework, which we call the Negative Binomial-Sushila linear model. The Negative Binomial-Sushila distribution has been proposed recently and applied to count data. This distribution is constructed as a mixture of the Negative Binomial and Sushila distributions. The mixed distribution is a flexible alternative to the Poisson distribution when over-dispersed count data is analyzed. The parameters of this distribution are estimated using a Bayesian approach with R2jags package of the R language. The Negative Binomial-Sushila linear model is applied to fit two real data sets with an over-dispersion and its performance is compared with the performance of some traditional models. The results show that the Negative Binomial-Sushila generalized linear model fits the data sets better than the traditional generalized models for these data sets.
Об авторах
Darika Yamrubboon
Department of Statistics
Автор, ответственный за переписку.
Email: darika.y@ku.th
Таиланд, Bangkok, 10903
Ampai Thongteeraparp
Department of Statistics
Автор, ответственный за переписку.
Email: fsciamu@ku.ac.th
Таиланд, Bangkok, 10903
Winai Bodhisuwan
Department of Statistics
Автор, ответственный за переписку.
Email: fsciwnb@ku.ac.th
Таиланд, Bangkok, 10903
Katechan Jampachaisri
Department of Mathematics
Автор, ответственный за переписку.
Email: katechanj@nu.ac.th
Таиланд, Phitsanulok, 65000
Andrei Volodin
Department of Mathematics and Statistics
Автор, ответственный за переписку.
Email: andrei.volodin@uregina.ca
Канада, Regina, SK, S4S 0A2