大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
4期
142-145
,共4页
周圣武%张艳%韩苗%索新丽
週聖武%張豔%韓苗%索新麗
주골무%장염%한묘%색신려
正态分布%分布函数%协方差矩阵%正定矩阵
正態分佈%分佈函數%協方差矩陣%正定矩陣
정태분포%분포함수%협방차구진%정정구진
normal distribution%dsistribution function%covariance matrix%positive-definite matrix
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.
在許多金融問題的研究中,如金融衍生產品定價、金融風險度量與管理等領域,經常用到多維正態分佈函數.在概率論與數理統計文獻中隻給齣瞭一維標準正態分佈錶,而多維正態分佈函數的計算問題沒有給齣具體的算法.本文給齣瞭多維正態分佈函數與一維標準正態分佈函數的關繫式,從而解決瞭多維正態分佈函數的計算問題.
재허다금융문제적연구중,여금융연생산품정개、금융풍험도량여관리등영역,경상용도다유정태분포함수.재개솔론여수리통계문헌중지급출료일유표준정태분포표,이다유정태분포함수적계산문제몰유급출구체적산법.본문급출료다유정태분포함수여일유표준정태분포함수적관계식,종이해결료다유정태분포함수적계산문제.
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.