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随机变量的分布函数及其计算
引用本文:李跃波.随机变量的分布函数及其计算[J].云南民族大学学报(自然科学版),2004,13(1):25-27.
作者姓名:李跃波
作者单位:昆明大学,昆明,650018
摘    要:在统计中,经常遇到一个随机变量的矩容易求出而该随机变量的分布函数难以得到的问题。现以傅氏级数为基础,运用契贝谢夫多项式,给出了用随机变量的矩求其分布函数的表达式。虽然这种表达式以级数的形式给出,但它便于用计算机进行处理与计算。

关 键 词:傅氏级数  契贝谢夫多项式  分布函数
文章编号:1005-7188(2004)01-0025-02
修稿时间:2003年9月2日

Give the Distribution Function of a Random Variable Utilizing its Moments
LI Yue-bo.Give the Distribution Function of a Random Variable Utilizing its Moments[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2004,13(1):25-27.
Authors:LI Yue-bo
Abstract:In statistical calculation, we often have the question which we can obtain the moments of a random variable easily, but can't obtain its distribution function. This paper that is based on the Fourier Series and applies the Chebyshev polynomials wonderfuly, gives the distribution function of a randowm variable utilizing its moments, In spite of this distribution function's form in thd series, its value can calculated easily with a computer.
Keywords:Fourier Series  Chebyshev polynomials  Distribution function  
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