We present the bivariate unit-log-symmetric model which is based on the bivariate log-symmetric distribution (BLS) defined in [Vila et al., 2022, Bivariate Log-symmetric Models: Theoretical Properties and Parameter Estimation. Avaliable at arXiv:2211.13839]. It is a flexible family of bivariate distributions over the unit square. We study mathematical properties like stochastic representations, quantiles, conditional distributions, independence of the marginal distributions and moments. Maximum likelihood estimators, simulation results and applications to soccer data are also presented.

翻译：我们提出双变量单位对称模型,该模型基于[Vila 等人,2022年,Bivariate 逻辑对称模型:理论属性和参数估计。ArXiv:2211.13839时可使用。该模型是单位方形上双变量分布的灵活组合。我们研究数学特性,如随机表达、孔径、有条件分布、边际分布和时间的独立性。还介绍了足球数据的最大可能性估计、模拟结果和应用。