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导数在计算矩中的应用
引用本文:王涛,赵宜宾.导数在计算矩中的应用[J].防灾科技学院学报,2007,9(2):95-97.
作者姓名:王涛  赵宜宾
作者单位:1. 华北科技学院基础部,河北,三河,065201
2. 防灾科技学院基础部,河北,三河,065201
摘    要:本文主要研究了应用数学分析中导数知识来求解统计学中的二项分布,泊松分布,几何分布的一、二阶矩.将这种方法加以推广,我们又提出了利用高阶导数求出伽玛(Gamma)分布,指数分布,正态分布的高阶矩.

关 键 词:导数  二项分布  伽玛(Gamma)分布  正态分布  
文章编号:1673-8047(2007)02-0095-03
修稿时间:2007-03-06

The Application of Derivative in Computing Moment
Wang Tao,Zhao Yibin.The Application of Derivative in Computing Moment[J].Journal of Institute of Disaster-prevention Science and Technology,2007,9(2):95-97.
Authors:Wang Tao  Zhao Yibin
Institution:1 Department of Basic Courses, North China Institute of Science and Technology, Sanhe, Hebei 065201; 2 Department of Basic Courses, Institute of Disaster-Prevention Science and Technology, Sanhe, Hebei 065201
Abstract:This paper mainly gives a method that we can solve the first and second moment of binomial distribution, geometric distribution and Poisson distribution in statistics by derivative in mathematic analysis. And by this means, we can solve the higher order of Gamma distribution, exponential distribution and normal distribution by the higher derivative.
Keywords:derivative  binomial distribution  Gamma distribution  normal distribution  moment
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