Discrete Weibull geometric distribution and its properties

ABSTRACT

In this article, the discrete analog of Weibull geometric distribution is introduced. Discrete Weibull, discrete Rayleigh, and geometric distributions are submodels of this distribution. Some basic distributional properties, hazard function, random number generation, moments, and order statistics of this new discrete distribution are studied. Estimation of the parameters are done using maximum likelihood method. The applications of the distribution is established using two datasets.

KEYWORDS:

• Discrete Weibull distribution
• Geometric distribution
• Hazard rate function
• Order statistics
• Weibull distribution
• Weibull geometric distribution.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62E15
• 62E99

Acknowledgement

The authors would like to thank the Editor in Chief and the two referees for their careful reading and comments which greatly improved the presentation of the article.