摘要
探讨了取值在(0,1)区间上的随机变量的一种新的分布族,对其各阶矩给出了积分表达公式,证明了这种分布是指数族,并利用数学软件给出了这种分布的几种典型形态.与Beta分布相比,这种分布族的曲线形态更加丰富,同时,这种分布与Gamma分布又有着密切的关系.
This article introduces a new family of distributions defined on the interval （0, 1）, and gives the integral representation to calculate its moments. It can be proved that the new distributions are exponential family. Further more, some typical shapes of the density curve have been shown in the article. The shapes that the new distribution densities can take are more abundant than the Beta distribution. At the same time, the new distribution is closely related to the Gamma distribution.
出处
《河南科学》
2012年第12期1695-1697,共3页
Henan Science
关键词
概率分布
指数分布族
GAMMA分布
BETA分布
GR分布
probability distribution
exponential distribution family
Gamma distribution
Beta distribution
GR distribution
