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| 一类指数混合分布族的结果 |
| Fingdings of Mixed Exponential Distribution |
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| DOI：10.3969/j.issn.1671-5322.2013.02.007 |
| 中文关键词: 多元t分布 指数混合分布族 充分统计量 |
| 英文关键词: multivariate t-distribution mixed exponential distribution sufficient statistics |
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| 中文摘要: |
| 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(P)θ,并讨论了参数函数在指数混合分布族(P)θ下的无偏性以及讨论指数分布族Pθ和指数混合分布族(P)θ有相同的完全统计量和充分统计量. |
| 英文摘要: |
| 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 distribution family.The function of parameters in the mixed exponential distribution family under the unbiased was discussed.This paper pointed out that the exponenfial distribution family and exponential mixture distribution family had the same complete statistic and the sufficient staticstics. |
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