Abstract The Kumaraswamy generalized family of distributions proposed by Cordeiro and de-Castro (2011), has received increased attention in modern distribution theory with 624 google citations, and more than 50 special models have been studied so far. We define another generator, and then propose a new Kumaraswamy generalized family of distributions by inducting this new generator. Some useful properties of the proposed family are obtained such as quantiles, linear representation of the density, moments and generating function. The method of maximum likelihood is used for estimating family parameters. The properties of a special model of the family, called new Kumaraswamy-Burr XII distribution, are reported. A simulation study is conducted to assess the performance of maximum likelihood estimates of the proposed model. Two real-life data sets are analyzed to illustrate the flexibility of proposed model.

中文翻译：

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一个新的 kumaraswamy 广义分布族：属性和应用

摘要 Cordeiro 和 de-Castro (2011) 提出的 Kumaraswamy 广义分布族在现代分布理论中受到越来越多的关注，有 624 次谷歌引用，迄今为止已经研究了 50 多个特殊模型。我们定义了另一个生成器，然后通过引入这个新生成器来提出一个新的 Kumaraswamy 广义分布族。获得了所提出的族的一些有用属性，例如分位数、密度的线性表示、矩和生成函数。最大似然法用于估计族参数。报告了称为新 Kumaraswamy-Burr XII 分布的家庭特殊模型的特性。进行模拟研究以评估所提出模型的最大似然估计的性能。