论文标题
双变量半参数分布家族的进一步结果
Further Results on the Bivariate Semi-parametric Singular Family of Distributions
论文作者
论文摘要
在文献中对双变量分布的一般类别进行了很好的研究。这些类中的大多数是通过单变量情况下的副群体公式或某些表征特性的扩展提出的。在Kundu（2022）中，我们看到一个这样的半参数家族有助于与纽带建模双变量数据。该模型是具有基线的一般半参数模型。在本文中，我们介绍了此类分布的特征性属性，以功能方程式。探索了该方程的一般解决方案。研究溶液成为双变量分布的必要条件。
General classes of bivariate distributions are well studied in literature. Most of these classes are proposed via a copula formulation or extensions of some characterisation properties in the univariate case. In Kundu(2022) we see one such semi-parametric family useful to model bivariate data with ties. This model is a general semi-parametric model with a baseline. In this paper we present a characterisation property of this class of distributions in terms of a functional equation. The general solution to this equation is explored. Necessary and sufficient conditions under which the solution becomes a bivariate distribution is investigated.
