Exponentiated generalized geometric distribution: A new discrete distribution

Year 2016, Volume: 45 Issue: 6, 1767 - 1779, 01.12.2016

Hamid Bidram Rasool Roozegar Vahid Nekoukhou

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

References

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