一类指数混合分布族的结果

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。

Fingdings of Mixed Exponential Distribution

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.