Journal of Statistical Distributions and Applications
In this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) family is developed on the basis of the T-X family technique. The density function of the BIIIMO-G family is arc, exponential, left- skewed, right-skewed and symmetrical shaped. Descriptive measures such as quantiles, moments, incomplete moments, inequality measures and reliability measures are theoretically established. The BIIIMO-G family is characterized via different techniques. Parameters of the BIIIMO-G family are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of BIIIMO-G family is demonstrated by its application to real data sets.
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Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Korkmaz, Mustafa Ç.; Cordeiro, Gauss M.; Yousof, Haitham M.; and Ahmad, Munir, "On Burr III Marshal Olkin Family: Development, Properties, Characterizations and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 21.