论文标题

在一个离散对称分布的家族中

On a family of discrete log-symmetric distributions

论文作者

Saulo, Helton, Vila, Roberto, Paiva, Leonardo, Balakrishnan, Narayanaswamy

论文摘要

连续概率分布的使用在纯粹离散性质的问题中广泛存在。通常,在这种情况下,这种分布是不合适的。在本文中,我们基于连续对称分布的家族引入了一类离散和不对称分布。通过最大似然法讨论了一些属性以及估计。进行了蒙特卡洛模拟研究以评估估计器的性能,并使用审查和未经审查的数据集来说明所提出的方法。

The use of continuous probability distributions has been widespread in problems with purely discrete nature. In general, such distributions are not appropriate in this scenario. In this paper, we introduce a class of discrete and asymmetric distributions based on the family of continuous log-symmetric distributions. Some properties are discussed as well as estimation by the maximum likelihood method. A Monte Carlo simulation study is carried out to evaluate the performance of the estimators, and censored and uncensored data sets are used to illustrate the proposed methodology.

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