A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution
Jiju Gillariose, Lishamol Tomy, Farrukh Jamal, Christophe Chesneau
Abstract
Finding new families of distributions has become a popular tool in statistical research. In this article, we introduce a new flexible four-parameter discrete model based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy Marshall-Olkin exponential distribution. The proposed distribution can be viewed as another generalization of the geometric distribution and enfolds some important distributions as special cases. Some properties of the new distribution are derived. The model parameters are estimated by the maximum likelihood method, with validation through a complete simulation study. The usefulness of the new model is illustrated via counttype real data sets.
Topics & Concepts
MathematicsExponential distributionApplied mathematicsNatural exponential familyStatisticsExponentially modified Gaussian distributionExponential functionMathematical analysisStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture ModelsProbabilistic and Robust Engineering Design