节点文献
多维正态分布函数的表示
Expressions of Multi-dimensional Normal Distribution Function
【摘要】 在许多金融问题的研究中,如金融衍生产品定价、金融风险度量与管理等领域,经常用到多维正态分布函数.在概率论与数理统计文献中只给出了一维标准正态分布表,而多维正态分布函数的计算问题没有给出具体的算法.本文给出了多维正态分布函数与一维标准正态分布函数的关系式,从而解决了多维正态分布函数的计算问题.
【Abstract】 In many researches of the financial problems,such as derivative securities pricing theory,financial risk measure and management and so on,multi-dimensional normal distribution functions are often used.But in the references of Probability and Statistics,the only one-dimensional standard normal distribution table was given and there’s no specific algorithm about multi-dimensional normal distribution functions.In this paper,the relational expression between multi-dimensional normal distribution function and one-dimensional standard normal distribution function was given.Thus the computational problems about multi-dimensional normal distribution function can be solved.
【Key words】 normal distribution; dsistribution function; covariance matrix; positive-definite matrix;
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2011年04期
- 【分类号】O211.3
- 【被引频次】4
- 【下载频次】958