Applied Mathematics & Information Sciences

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In this paper, a new two-parameter continuous distribution called Sameera distribution is proposed. Some statistical properties of this distribution are derived such as: moment-generating function, moments, and related measures, reliability analysis and associated functions. Also, the distribution of order statistics and the quantile function are presented. The Shannon, Re ́nyi, and Tsallis entropies are derived. The methods of maximum likelihood estimation, ordinary and weighted least squares, Anderson-Darling, Cramer-Von Mises, and maximum product spacing are used to estimate the distribution parameters. A simulation study is performed to investigate the performance of these methods. Real data applications show that the proposed distribution can provide a better fit than several competitive distributions.

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