Journal of Statistics Applications & Probability

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In this study, we introduce a new extension of three-parameter Kappa distribution using the Topp-Leone family of distributions, called Topp-Leone Kappa distribution which offers distribution with more flexible and applicable study of the highly-skewed data. Some statistical properties of the proposed distribution are studied. Based on censoring schemes, the maximum likelihood estimation is considered for the new model parameters. A simulation study is carried out to evaluate the performance of the maximum likelihood estimates based on their biases and mean square errors. The new model is fitted to a real data set and it is shown that the distribution is better fits than some other competitive distributions.

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