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Marshall-Olkin二元指数分布
引用本文:周菊玲,梁晓佳.Marshall-Olkin二元指数分布[J].新疆师范大学学报(自然科学版),2013(4):63-65.
作者姓名:周菊玲  梁晓佳
作者单位:新疆师范大学数学科学学院,新疆乌鲁木齐830054
摘    要:指数分布是应用非常广泛的寿命分布模型。文章对Marshall-Olkin二元指数分布模型讨论了它的边际分布,得到边际分布都服从一元指数分布;研究了该二元指数分布模型的应用和性质,得到由该分布构造的统计结构不能被计数测度控制,也不能被二维Lebesgue测度控制。

关 键 词:二元指数分布  边际分布  协方差  计数测度  Lebesgue测度

The Marshali--Olkin Bivariate Exponential Distribution
Institution:ZHOU Ju--ling, LIANG Xiao--jia (College of Mathematical Science, Xinjiang Normal University, Urumqi , Xinjiang , 830054, China )
Abstract:The exponential distribution is the life distribution model that is applied very widely. In this paper discussed the Marshall -- Olkin binary exponential distribution model and its marginal distribution which follow one--dimension exponentia distribution; and then studied the application and properties of binary exponential distribution model. The statistical structure constructed by this distribution is neither controlled by the counter measure, nor controlled by the two--dimensional Lebesgue measure.
Keywords:Bivariate Exponential Distribution  Marginal Distribution  Covariance  Counter meas- urement  Lebesgue measurement
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