
In this paper, a new count distribution is introduced. It is a mixture of the Poisson and generalized Lindley distributions. Statistical properties of the proposed distribution including the factorial moments, probability generating function, moment generating function and moments are studies. Maximum likelihood estimators of unknown parameters are derived. Moreover, an alternative count regression model based on the proposed distribution is presented. Finally, the proposed model is applied for real data and compared with other well-known models.
Statistics and Probability, Population, Generalized linear model, Estimator, Mathematical analysis, QA273-280, Poisson regression, Sociology, Artificial Intelligence, Factorial, Skew Distributions and Applications in Statistics, Probability density function, FOS: Mathematics, Coagulation and Flocculation Processes in Water Treatment, Classical mechanics, Water Science and Technology, Count data, Demography, Distribution (mathematics), Physics, Statistics, Moment (physics), Applied mathematics, HA1-4737, FOS: Sociology, Generalized Exponential, Compound Poisson distribution, Physical Sciences, Computer Science, Environmental Science, Moment-generating function, Poisson distribution, Model-Based Clustering with Mixture Models, Probabilities. Mathematical statistics, Regression analysis, Mathematics, Zero-inflated model
Statistics and Probability, Population, Generalized linear model, Estimator, Mathematical analysis, QA273-280, Poisson regression, Sociology, Artificial Intelligence, Factorial, Skew Distributions and Applications in Statistics, Probability density function, FOS: Mathematics, Coagulation and Flocculation Processes in Water Treatment, Classical mechanics, Water Science and Technology, Count data, Demography, Distribution (mathematics), Physics, Statistics, Moment (physics), Applied mathematics, HA1-4737, FOS: Sociology, Generalized Exponential, Compound Poisson distribution, Physical Sciences, Computer Science, Environmental Science, Moment-generating function, Poisson distribution, Model-Based Clustering with Mixture Models, Probabilities. Mathematical statistics, Regression analysis, Mathematics, Zero-inflated model
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