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The Exponentiated Generalized Standardized Half-logistic Distribution

机译:指数化的广义标准化的半逻辑分布

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We study a new two-parameter lifetime model called the exponentiated generalized standardized half-logistic distribution, which extends the half-logistic pioneered by Balakrishnan in the eighties. We provide explicit expressions for the moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves, and order statistics. The model parameters are estimated by the maximum likelihood method. A simulation study reveals that the estimators have desirable properties such as small biases and variances even in moderate sample sizes. We prove empirically that the new distribution provides a better fit to a real data set than other competitive models.
机译:我们研究了一个称为指数化的广义标准化半逻辑分布的新的两参数终身模型,它延伸了八十年代Balakrishnan的半逻辑。 我们为时刻,生成和定量函数,均值偏差,Bonferroni和Lorenz曲线提供显式表达式,以及订单统计。 模型参数通过最大似然方法估算。 模拟研究表明,估计器具有所需的性质,例如,即使在适度的样本尺寸也是小的偏差和差异。 我们证明了新的分布为真实数据集提供了比其他竞争模型更好。

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