| (0,1)区间上一种新的分布族 |
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| 引用本文： | 吕佳,罗红娟.(0,1)区间上一种新的分布族[J].河南科学,2012(12). |
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| 作者姓名： | 吕佳 罗红娟 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西 延安 716000 |
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| 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.
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| 关 键 词： | 概率分布 指数分布族 Gamma分布 Beta分布 GR分布 |
A New Family of Distribution Defined on the Interval(0,1) |
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| Abstract: | This article introduces a new family of distributions defined on the interval(0,1),and gives the integralrepresentation to calculate its moments.It can be proved that the new distributions are exponential family.Furthermore,some typical shapes of the density curve have been shown in the article.The shapes that the new distributiondensities can take are more abundant than the Beta distribution.At the same time,the new distribution is closelyrelated to the Gamma distribution. |
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| Keywords: | probability distribution exponential distribution family Gamma distribution Beta distribution GR distribution |
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