A New Generalization of Geometric Distribution with Properties and Applications. Issue 3 (3rd March 2020)

• Record Type: Journal Article
• Authors: Altun, Emrah
• Is Part Of: Communications in statistics. Volume 49:Issue 3(2020)
• Page Start: 793
• Page End: 807
• Publication Date: 2020-03-03
• Subjects: INAR(1) process -- Conditional maximum likelihood -- Over-dispersion -- Binomial thinning; 62E15; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2019.1639739
• Languages: English
• ISSNs: 0361-0918

Abstract

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.