Abstract
Within the master thesis [1], the author considered the following random variable $$T=X^{-1}-1,$$ where $X$ follows the Kumaraswamy distribution, and obtains a so-called inverted Kumaraswamy distribution, and studies some properties and applications of this class of distributions in the context of the power series family [2]. Within the paper [3], they introduced the exponentiated generalized class of distributions and obtained some properties with applications. Based on these developments we introduce a class of modified power series inverted exponentiated generalized distributions and obtain some of their properties with applications. Some characterization theorems are also presented. Avenues for further research concludes the paper.
Reference19 articles.
1. Godwin Dzakpasu, Power series inverted Kumaraswamy distribution with applications to lifetime data, Master Thesis in Applied Statistics, University for Development Studies, Ghana, West Africa, 2019.
2. A. Noack, A class of random variables with discrete distributions, Ann. Math. Statistics 21 (1950), 127-132. https://doi.org/10.1214/aoms/1177729894
3. Gauss M. Cordeiro, Edwin M. M. Ortega and Daniel C. C. da Cunha, The exponentiated generalized class of distributions, J. Data Sci. 11 (2013), 1-27.
4. R. C. Gupta, P. L. Gupta and R. D. Gupta, Modeling failure time data by Lehman alternatives, Comm. Statist. Theory Methods 27 (1998), 887-904. https://doi.org/10.1080/03610929808832134
5. Wikipedia contributors, "Kumaraswamy distribution," Wikipedia, The Free Encyclopedia. 23 Jan. 2020. Web. 30 Mar. 2020