Exponentiated generalized geometric distribution: A new discrete distribution

Authors : Hamid BİDRAM, Rasool ROOZEGAR, Vahid NEKOUKHOU

Pages : 1767-1779

View : 15 | Download : 6

Publication Date : 2016-12-01

Article Type : Research Paper

Abstract :In this paper, a new three-parameter extension of the generalized geometric distribution of [6] is introduced. The new discrete distribution belongs to the resilience parameter family and handles a decreasing, increasing, upside-down and bathtub-shaped hazard rate function. The new distributions can also be considered as discrete analogs of some recent continuous distributions belonging to the known Marshall-Olkin family. Here, some basic statistical and mathematical properties of the new distribution are studied. In addition, estimation of the unknown parameters, a simulated example and an application of the new model are illustrated.
Keywords : Geometric distribution, Generalized geometric distribution, Generalized exponential geometric distribution, Marshall Olkin family, Resilience parameter family