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On zero-distorted generalized geometric distribution |
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| Authors: | D. V. S. Sastry R. N. Rattihalli E. Gómez-Déniz |
| Affiliation: | 1. Chair Professor, Central University of Rajasthan, Ajmer, Rajasthan, India;2. School of Mathematics and Statistics, University of Hyderabad, Hyderabad, India;3. Department of Quantitative Methods and TiDES Institute, University of Las Palmas de Gran Canaria, Las Palmas de G.C., Spain |
| Abstract: | ABSTRACTWe propose a new generalized geometric distribution which permits inflation/deflation of the zero count probability and study some of its properties. We also present an actuarial application of this distribution and fit it to three datasets used by other researchers. It is observed that the proposed distribution fits reasonably well to these data. Further, in a regression setup, the performance of this distribution is studied vis–a–vis other competing distributions used for explaining variability in a response variable. |
| Keywords: | Geometric distribution Exponential distribution Maximum likelihood function (MLE) Mixture models Zero-distortion parameter Zero-distorted regression |