Advances and Applications in Statistics
Volume 56, Issue 1, Pages 77 - 93
(May 2019) http://dx.doi.org/10.17654/AS056010077 |
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A COMPARISON BETWEEN ZERO AND DOUBLY INFLATED POISSON MODELS BASED ON A SIMULATION STUDY
Tabatabaee Seyed Mehdi, Zayeri Farid, Baghestani Ahmad Reza, Ghorbani Zahra and Akbarzadeh Baghban Alireza
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Abstract: Zero-inflated models are used to model data where inflation occurs at zero. We have extended zero-inflated models to data where “inflation” occurs at two locations.
We have modeled the zero-inflated Poisson model to data with two inflation points. We have carried out a detailed simulation study to compare zero-inflated and doubly inflated Poisson model. In order to compare the performance of two versions based on our model, we have used the model to analyze a real data set related to dental erosion with inflation at two points. We used Akaike information criterion (AIC) and minus two log-likelihood statistic for DIP and ZIP models to choose the suitable model in order to analyze a count data set with two inflation points. For the purpose of analysis of a count data set with two inflation points, DIP model is more suitable than the ZIP model. |
Keywords and phrases: doubly inflated, Poisson model, zero-inflated, inflation.
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