A New Generalization of Geometric Distribution with Properties and Applications
Abstract In this study, a new two parameter mixed Poisson distribution is proposed. Statistical properties of the proposed distribution are studied comprehensively. The maximum likelihood estimation method is used to estimate unknown model parameters. A simulation study is conducted to evaluate the asymptotic efficiencies of the maximum likelihood estimators of model parameters. The usefulness of proposed distribution is demonstrated in first order integer valued autoregressive process, shortly INAR(1) Empirical findings show that the proposed INAR(1) process provides better results than other competitive models when the time series of counts display over dispersion.
Commun. Stat. Simul. Comput.