• Salma Omar Bleed Department of Statistics, Collage of Science, Alasmarya University Zliten-Libya
  • Arwa Elsunousi Ali Abdelali Libyan Academic of Postgraduate Studies, Misurata – Libya



ArcSine Distribution, Quadratic Rank Transmutation, Residual Function, Risk Function, Estimated of Parameters

Abstract [English]

The distribution of ArcSine will be developed to another new distribution using the Quadratic Rank Transmutation (QRT) method proposed by Shaw and Buckley (2007). The new distribution will be called the Transmuted ArcSine distribution, some of its mathematical characteristics such as variance, expectation, residual function, risk function, moments, moment generating function and characteristic function will be presented. The model parameters will be estimated by the maximum likelihood method. Finally, two real data sets are analyzed to illustrates the usefulness of the TAS distribution.


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How to Cite

Bleed, S. O., & Abdelali, A. E. A. (2018). TRANSMUTED ARCSINE DISTRIBUTION PROPERTIES AND APPLICATION. International Journal of Research -GRANTHAALAYAH, 6(10), 38–47.