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波动性建模所需的多输出异方差高斯法的非参数混合物

Nonparametric Mixtures of Multi-Output Heteroscedastic Gaussian Processes for Volatility Modeling
课程网址: http://videolectures.net/nipsworkshops2012_platanios_processes/  
主讲教师: Platanios Emmanouil A
开课单位: 伦敦帝国学院
开课时间: 2013-01-16
课程语种: 英语
中文简介:
本文提出了一种非参数贝叶斯多变量波动率建模方法。我们的方法是基于一个新的混合多输出异方差高斯过程的假设来建模多个资产的协方差矩阵。具体地说,我们使用pitman-yor过程prior作为施加在模型组件上的非参数prior,将其作为多输出异方差高斯过程,通过引入适当的卷积核,将简单异方差高斯过程结合在多输出方案下得到。我们展示了我们的方法在波动性预测任务中的有效性。
课程简介: In this work, we present a nonparametric Bayesian method for multivariate volatility modeling. Our approach is based on postulation of a novel mixture of multioutput heteroscedastic Gaussian processes to model the covariance matrices of multiple assets. Specifically, we use the Pitman-Yor process prior as the nonparametric prior imposed over the components of our model, which are taken as multioutput heteroscedastic Gaussian processes obtained by introducing appropriate convolution kernels that combine simple heteroscedastic Gaussian processes under a multioutput scheme. We exhibit the efficacy of our approach in a volatility prediction task.
关 键 词: 非参数; 贝叶斯方法; 多元波动模型; 协方差矩阵
课程来源: 视频讲座网
最后编审: 2020-07-30:yumf
阅读次数: 48