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On extension of multivariate normal distribution and effect of non-normality

On extension of multivariate normal distribution and effect of non-normality
关于多元正态分布的推广和非正态性的影响
批准号:
20700254
负责人:
MARUYAMA Yoshihito
金额:
$1.08万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2009

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中文摘要
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英文摘要
In this work, we have discussed the extension of multivariate normal distribution and the effect of non-normality. For elliptical distribution which is one of multivariate non-normal distributions, we have considered the moment formulas and the estimation of parameters, and have obtained the basic properties. In order to examine the effect of non-normality, asymptotic expansions of distributions for test statistics have been derived under elliptical populations.
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会议论文
Note on testing the quality of mean components
平均成分质量检验注意事项
DOI: --
发表时间: 2009
期刊: Int. J. Pure Appl. Math. 51
影响因子: --
作者: [M.Sugiyama, T.Suzuki, Y.Itho, T.Kanamori, M.Kimura, Y. Maruyama, Y. Maruyama]
通讯作者: Y. Maruyama
A note on sample measure of multivariate skewness
关于多元偏度样本测量的注释
DOI: --
发表时间: 2009
期刊: Adv. Appl. Statist. Sci. 1
影响因子: --
作者: [M.Sugiyama, T.Suzuki, Y.Itho, T.Kanamori, M.Kimura, Y. Maruyama]
通讯作者: Y. Maruyama
DOI: --
发表时间:
期刊: Adv. Appl. Math. Sci. (to appear)
影响因子: --
作者: [S.Hido, Y.Tsuboi, H.Kashima, M.Sugiyama, T.Kanamori, Y. Maruyama]
通讯作者: Y. Maruyama
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