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Transmuted Stretched Exponential Distribution with Applications

机译:mut变拉伸指数分布及其应用

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In this paper, we have introduced generalization of the Stretched Exponential distribution termed as the Transmuted Stretched Exponential distribution. This suggested distribution can model data in form of decreasing and increasing hazard rates. Besides, we have derived some mathematical properties of the distribution covering probability density function, distribution function, survival, failure rate and reversed hazard functions, moments, moment generating function, incomplete moments, cumulant generating function, quantile function, mean deviation and Renyi entropy of introduced distribution. The Maximum Likelihood method has been used for estimation of parameters. We have delivered real data sets to demonstrate the worth and significance of presented distribution. It has been observed that the introduced distribution of three parameters fits better than competitive distributions for data sets.
机译:在本文中,我们介绍了拉伸指数分布的一般化,称为泛化拉伸指数分布。这种建议的分布可以以降低和增加危险率的形式对数据建模。此外,我们推导了分布的一些数学性质,包括概率密度函数,分布函数,生存,失败率和逆向危害函数,矩,矩生成函数,不完全矩,累积量生成函数,分位数函数,均值偏差和Renyi熵。引入分布。最大似然法已用于参数估计。我们已经提供了真实的数据集,以证明所介绍的发行的价值和意义。已经观察到,引入的三个参数分布比数据集的竞争分布更适合。

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