A TEST OF EQUALITY OF MEAN VECTORS OF SEVERAL HETEROSCEDASTIC MULTIVARIATE POPULATIONS

Yoshihide Kakizawa

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A TEST OF EQUALITY OF MEAN VECTORS OF SEVERAL HETEROSCEDASTIC MULTIVARIATE POPULATIONS

机译：多个异方差多元种群均值向量的均等检验

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摘要

This paper deals with a test of equality of mean vectors of several heteroscedastic multivariate populations. We derive not only the asymptotic expansion up to N~(-1) of the nonnull distribution of James's (1954) statistic, but also those of two corrected

机译：本文讨论了几个异方差多元变量均值向量的相等性检验。我们不仅推导出James（1954）统计量的非零分布的N〜（-1）的渐近展开，而且还推导了两个校正后的渐近展开。

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来源
《Journal of the Japan Statistical Society》 |2007年第2期|p.253-283|共31页
作者
Yoshihide Kakizawa;
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作者单位

Faculty of Economics, Hokkaido University, Nishi 7, Kita 9, Kita-ku, Sapporo 060-0809, Japan;

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原文格式 PDF
正文语种 eng
中图分类统计学;
关键词
asymptotic expansion; bartlett's type adjustment; differential operator; heteroscedasticity; local power; nonnormality; nonnull distribution; one-way MANOVA;

机译：渐近展开;Bartlett类型调整;微分算子;异方差性;局部幂;非正态性;非零分布;单向MANOVA;

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1. Testing the equality of several multivariate normal mean vectors under heteroscedasticity: A fiducial approach and an approximate test [J] . Eftekhar Sana, Sadooghi-Alvandi Mohammad, Kharrati-Kopaei Mahmood Communications in Statistics . 2018,第7a9期

机译：在异方差下检验几个多元正态平均向量的相等性：基准方法和近似检验
2. Testing for equality of ordered eigenvectors of two multivariate normal populations [J] . Dariush Najarzadeh, Mojtaba Khazaei, Mojtaba Ganjali Metron . 2015,第1期

机译：测试两个多元正态总体的有序特征向量是否相等
3. Testing the equality of mean vectors for paired doubly multivariate observations in blocked compound symmetric covariance matrix setup [J] . Roy Anuradha, Leiva Ricardo, Zezula Ivan, Journal of Multivariate Analysis: An International Journal . 2015,第Null期

机译：在封闭的化合物对称协方差矩阵设置中测试配对双变量多变量观测值的均值向量的相等性
4. The Likelihood Ratio Test for Equality of Mean Vectors with Compound Symmetric Covariance Matrices [C] . Carlos A. Coelho International conference on computational science and its applications . 2017

机译：复合对称协方差矩阵的均值向量相等性的似然比检验
5. Robustness of four multivariate tests under variance-covariance heteroscedasticity. [D] . Tang, Kezhen Linda. 1989

机译：方差-协方差异方差下的四个多元检验的稳健性。
6. Use of Pearson’s Chi-Square for Testing Equality of Percentile Profiles across Multiple Populations [O] . William D. Johnson, Robbie A. Beyl, Jeffrey H. Burton, -1

机译：使用皮尔逊（Pearson）卡方检验多人口百分比分布图的均等性
7. A TEST OF EQUALITY OF MEAN VECTORS OF SEVERAL HETEROSCEDASTIC MULTIVARIATE POPULATIONS [O] . Yoshihide Kakizawa 2014

机译：几种杂种多变种群平均向量的均衡性检验
8. Likelihood Ratio Tests on Covariance Matrices and Mean Vectors of Complex Multivariate Normal Populations and Their Applications in Time Series [R] . Krishnaian, P. R., Lee, J. C., Chang, T. C. 1983

机译：似然比检验复变多元正规总体的协方差矩阵和均值向量及其在时间序列中的应用

A TEST OF EQUALITY OF MEAN VECTORS OF SEVERAL HETEROSCEDASTIC MULTIVARIATE POPULATIONS

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