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Abstract
In this paper, a new discrete distribution called Uniform-Geometric distribution is proposed. Several distributional properties including survival function, moments, skewness, kurtosis, entropy and hazard rate function are discussed. Estimation of distribution parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square error. Two real data applications are also presented to see that new distribution is useful in modelling data.
Acknowledgements
This study is a part of the first author's Ph.D thesis entitled “Statistical Inference for some Discrete Distributions” in Selçuk University, Graduate School of Natural and Applied Sciences, 2015.
Disclosure statement
No potential conflict of interest was reported by the authors.
Funding
The work of the first and second author was supported by the Selcuk University BAP Office grant [14101001].