arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.13132cs.LGq-fin.RM

生成异质尾部依赖性

Generative Learning of Heterogeneous Tail Dependence

Xiangqian Sun, Xing Yan, Qi Wu

AI总结:

本文提出了一种多变量生成模型,用于捕捉业务和金融数据中的复杂依赖结构,通过异质性和不对称性尾部依赖性提升有限样本性能。

摘要:

我们提出了一种多变量生成模型,以捕捉业务和金融数据中常见的复杂依赖结构。我们的模型特征是所有个体维度对之间存在异质性和不对称性尾部依赖性,同时允许边缘分布的异质性和不对称性。我们模型结构的一个显著优点是它在参数估计过程中不容易产生误差传播,因此非常可扩展,因为数据集的维度增长。然而,由于缺乏闭合形式的密度函数,likelihood方法在我们的案例中不可行。相反,我们设计了一种新的矩学习算法来学习参数。为了展示模型和估计器的有效性,我们将其测试在模拟以及真实世界的数据集上。结果表明,该框架在有限样本性能方面优于基于copula的基准以及最近的类似模型。

英文摘要:

We propose a multivariate generative model to capture the complex dependence structure often encountered in business and financial data. Our model features heterogeneous and asymmetric tail dependence between all pairs of individual dimensions while also allowing heterogeneity and asymmetry in the tails of the marginals. A significant merit of our model structure is that it is not prone to error propagation in the parameter estimation process, hence very scalable, as the dimensions of datasets grow large. However, the likelihood methods are infeasible for parameter estimation in our case due to the lack of a closed-form density function. Instead, we devise a novel moment learning algorithm to learn the parameters. To demonstrate the effectiveness of the model and its estimator, we test them on simulated as well as real-world datasets. Results show that this framework gives better finite-sample performance compared to the copula-based benchmarks as well as recent similar models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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