摘要
文章从应用的角度出发,对两参数Weibull分布的卷积——独立Weibull分布随机变量之和的分布函数进行了探讨,通过对Weibull分布的二重、三重、四重卷积的推导。得出了一些普遍规律,从而推出了计算两参数Weibull分布n重卷积的表达式。
A series of appoximate calculation based on the ground of practical application have been given for the convolution of double-parameter Weibull distribution, i. e. the distribution function of the summation of the independent Weibull distribution randon varables (using the first three terms of e^x axpansion formula and omitting the terms above x^3). Some regular patterns and thereby an expres. sion for calculating n-convolution of Weibull distribution are derived from double, triple, and quadruplex convolutions.
出处
《江汉石油学院学报》
CSCD
北大核心
1990年第4期70-80,共11页
Journal of Jianghan Petroleum Institute
关键词
随机变量
分布函数
卷积
密度函数
random variable
distribution function
convolution
frequency function
Beta function
Weibull distribution
Gamma distribution
Taylor expansion
