In this work, a new five-parameter Kumaraswamy transmuted Pareto (KwTP) distribution is introduced and studied. We discuss various mathematical and statistical properties of the distribution including obtaining expressions for the moments, quantiles, mean deviations, skewness, kurtosis, reliability and order statistics. The estimation of the model parameters is performed by the method of maximum likelihood. We compare the distribution with few other distributions to show its versatility in modeling data with heavy tail.

中文翻译：

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Kumaraswamy改变了帕累托分布

在这项工作中，介绍并研究了一种新的五参数Kumaraswamy变换帕累托（KwTP）分布。我们讨论了分布的各种数学和统计属性，包括获得弯矩，分位数，平均偏差，偏度，峰度，可靠性和阶次统计量的表达式。通过最大似然法对模型参数进行估计。我们将分布与其他几个分布进行比较，以显示其在重尾模型数据中的通用性。