A bivariate generalized geometric distribution with applications |
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| Authors: | E Gómez–Déniz M E Ghitany Ramesh C Gupta |
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| Institution: | 1. Department of Quantitative Methods in Economics and TiDES Institute, University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain;2. Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Kuwait, Kuwait;3. Department of Mathematics and Statistics, University of Maine, Orono, ME, USA |
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| Abstract: | This paper proposes a bivariate version of the univariate discrete generalized geometric distribution considered by Gómez–Déniz (2010 Gómez–Déniz, E. (2010). Another generalization of the geometric distribution. Test 19:399–415.Crossref], Web of Science ®] , Google Scholar]). The proposed bivariate distribution can have a positive or negative correlation coefficient which can be used for modeling bivariate-dependent count data. After discussing some of its properties, maximum likelihood estimation is discussed. Two illustrative examples are given for fitting and demonstrating the usefulness of the new bivariate distribution proposed here. |
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| Keywords: | Geometric distribution joint distributions marginal distributions Marshall and Olkin family of distributions overdispersion underdispersion |
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