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Some Properties of Gamma Burr Type X Distribution with Application

机译:伽马毛刺型X分布的一些特性

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We develop a new continuous distribution called the Gamma-Burr type X (GBX) distribution that extends the Burr type X distribution that has increasing, decreasing and bathtub shapes for the hazard function. Various structural properties of this new distribution are provide, that includes the limit behavior, Quantile function and sub-models. From the generalization of the probability density function and cumulative distribution function of this distribution, the expression for the rth moment, moment generating function, Renyi entropy, and the order statistics can be established. We considered the maximum likelihood estimation to estimate the parameters. A real data set is applied to illustrate the usefulness of the GBX distribution. This new distribution will serve as an alternative model to other models available in the literature for modeling positive real data in many areas.
机译:我们开发了一个名为Gamma-BURR型X(GBX)分布的新的连续分布,该分布延伸了危险功能的增加,减少和浴缸的形状。这种新分布的各种结构特性都提供了限制行为,定量函数和子模型。从概率密度函数的泛化和这个分布的累积分布函数,可以建立第Rth时刻,矩生成函数,renyi熵和订单统计的表达。我们考虑了估计参数的最大可能性估计。应用真实数据集以说明GBX分布的有用性。这种新的分布将作为文献中提供的其他模型的替代模型,用于在许多领域建模正实数据。

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