On Zero-Modified Poisson-Sujatha Distribution to Model Overdispersed Count Data
| Autor: | Katiane S. Conceição, Wesley Bertoli da Silva, Angélica Maria Tortola Ribeiro, Francisco Louzada Neto, Marinho G. Andrade |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Distribution (number theory) Applied Mathematics ANÁLISE DE REGRESSÃO E DE CORRELAÇÃO Mathematical analysis Statistics Zero (complex analysis) 02 engineering and technology Poisson distribution 01 natural sciences QA273-280 010305 fluids & plasmas HA1-4737 symbols.namesake 0103 physical sciences 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Statistics Probability and Uncertainty Probabilities. Mathematical statistics Count data Mathematics |
| Zdroj: | Austrian Journal of Statistics, Vol 47, Iss 3 (2018) Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| Popis: | In this paper we propose the zero-modified Poisson-Sujatha distribution as an alternative to model overdispersed count data exhibiting inflation or deflation of zeros. It will be shown that the zero modification can be incorporated by using the zero-truncated Poisson-Sujatha distribution. A simple reparametrization of the probability function will allow us to represent the zero-modified Poisson-Sujatha distribution as a hurdle model. This trick leads to the fact that proposed model can be fitted without any previously information about the zero modification present in a given dataset. The maximum likelihood theory will be used for parameter estimation and asymptotic inference concerns. A simulation study will be conducted in order to evaluate some frequentist properties of the developed methodology. The usefulness of the proposed model will be illustrated using real datasets of the biological sciences field and comparing it with other models available in the literature. |
| Databáze: | OpenAIRE |
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