We introduce the bivariate unit-log-symmetric model 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] as a flexible family of bivariate distributions over the unit square. We then study its mathematical properties such as stochastic representations, quantiles, conditional distributions, independence of the marginal distributions and moments. Maximum likelihood estimation method is discussed and examined through Monte Carlo simulation. Finally, the proposed model is used to analyze soccer data.

翻译：我们采用基于[Vila 等人,2022年,《双轨对称模型:理论属性和参数估计》中定义的双轨对称分布的双轨单位对称模型(BLS),作为单位广场上双轨分布的灵活组合。然后我们研究其数学特性,如蒸汽表象、定量、有条件分布、边际分布和瞬间的独立性,通过Monte Carlo模拟讨论和审查最大可能性估计方法。最后,拟议模型用于分析足球数据。