Poisson Shifted Gompertz Distribution: Properties and Applications
Arun Kumar Chaudhary1, Vijay Kumar2
1Arun Kumar Chaudhary*, Associate Professor, Department of Management Science(Statistics), Nepal Commerce Campus, Tribhuwan University, Nepal.
2Vijay Kumar, Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India.
Manuscript received on January 16, 2021. | Revised Manuscript received on January 20, 2021. | Manuscript published on January 30, 2021. | PP: 202-208 | Volume-9 Issue-5, January 2021. | Retrieval Number: 100.1/ijrte.E5265019521 | DOI: 10.35940/ijrte.E5265.019521
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: A novel distribution using Poisson-Generating family of distribution with parent distribution as shifted Gompertz distribution called Poisson shifted Gompertz distribution with relevant properties has been introduced. The estimation of unknown parameters is carried out via established methods including Maximum likelihood estimation (MLE). R software is applied for computational purposes. The application of the proposed model has been illustrated considering a real set of data and investigated the goodness-of-fit attained by the Poisson shifted Gompertz model through different graphical methods and test statistics where better fit was observed for the set of real data.
Keywords: Estimation method, LSE, MLE, Poisson- Generating family, Shifted Gompertz distribution.