一类指数混合分布族的结果  

Fingdings of Mixed Exponential Distribution

作　　者：卫飚[1] 

机构地区：[1]南京政治学院,基础部江苏南京210003

出　　处：《盐城工学院学报（自然科学版）》2013年第2期31-34,共4页Journal of Yancheng Institute of Technology:Natural Science Edition

摘　　要：在统计分析中,多元t分布是一种重要的分布以及指数分布族也是一种重要的分布族。模仿从多元正态分布得到多元t分布的过程,把指数分布族pθ与gamma分布进行混合,得到一种新的分布族,称为指数混合分布族pθ,并讨论了参数函数在指数混合分布族pθ下的无偏性以及讨论指数分布族pθ和指数混合分布族pθ有相同的完全统计量和充分统计量。In the statistical analysis,multivariate t distribution is an important distribution and exponential distribution family is a family of distributions is important. This paper imitated the multivariate normal distribution to obtain a multivariate distribution and mixed exponential distribution and distribution, a new family of distributions obtained, known as the mixed exponential distri- bution family. The function of parameters in the mixed exponential distribution family under the unbiased was discussed. This pa- per pointed out that the exponential distribution family and exponential mixture distribution family had the same complete statistic and the sufficient staticstics.

关 键 词：多元T分布 指数混合分布族 充分统计量 

分 类 号：O211.4[理学—概率论与数理统计]