论文标题
单位对称模型:表征,统计属性及其在分析Internet访问数据中的使用
Unit-log-symmetric models: Characterization, statistical properties and its use in analyzing internet access data
论文作者
论文摘要
我们在这里提出了一个基于双变量对称分布的单位对称模型。这是一个在间隔$(0,1)$上的灵活的分布家族。然后,我们讨论其数学属性,例如随机表示,对称性,方式,力矩,分位数函数,熵和最大似然估计器,特别注意单位对数正态,单位log-gog-student-$ t $ $ t $和单位log-log-laplace分布的特殊情况。最后,提出了一些经验结果和实践插图。
We present here a unit-log-symmetric model based on the bivariate log-symmetric distribution. It is a flexible family of distributions over the interval $(0, 1)$. We then discuss its mathematical properties such as stochastic representation, symmetry, modality, moments, quantile function, entropy and maximum likelihood estimators, paying particular attention to the special cases of unit log-normal, unit-log-Student-$t$ and unit-log-Laplace distributions. Finally, some empirical results and practical illustrations are presented.