| 正交平衡区组设计统计分析模型参数估计的分布特征研究 |
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| 引用本文： | 吴亚桢,廖靖宇,张应山,田萍,张建军.正交平衡区组设计统计分析模型参数估计的分布特征研究[J].数学的实践与认识,2012,42(3):212-221. |
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| 作者姓名： | 吴亚桢 廖靖宇 张应山 田萍 张建军 |
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| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000
2. 华东师范大学金融与统计学院,上海,200241 |
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| 基金项目： | 教育部高校博士点专项基金，河南省教育厅自然科学基金 |
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| 摘 要： | 正交平衡区组设计(或者广义正交表)是一种类似于正交拉丁方(或者正交表)的新设计,但试验次数大幅减少.通过对正交平衡区组设计统计分析模型参数估计的分布特征进行了深入研究.研究发现,在试验数据正态性的情况下,各种参数估计也服从正态分布,并且各种参数的最小二乘估计都是无偏的,得到了各种参数估计的方差和独立性性质.
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| 关 键 词： | 正交平衡区组设计 相遇平衡区组设计 广义正交表 统计模型 参数估计 分布特征 |
The Distribution Characteristic of Parameter Estimator for a Statistical Analysis Model of Orthogonal Balanced Block Designs |
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| WU Ya-zhen
,
LIAO Jing-yu
,
ZHANG Ying-shan
,
TIAN Ping
,
ZHANG Jian-jun.The Distribution Characteristic of Parameter Estimator for a Statistical Analysis Model of Orthogonal Balanced Block Designs[J].Mathematics in Practice and Theory,2012,42(3):212-221. |
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| Authors: | WU Ya-zhen LIAO Jing-yu ZHANG Ying-shan TIAN Ping ZHANG Jian-jun |
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| Institution: | 1 (1.School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China) (2.School of Finance and Statistics,East China Normal University,Shanghai 200241,China) |
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| Abstract: | Orthogonal balanced block designs(or generalized orthogonal arrays) are new ones which are similar to the orthogonal Latin squares(or orthogonal arrays),but the run size is small.In this paper the distribution characteristic of parameter estimator for a statistical analysis model of orthogonal balanced block designs is discussed,the research shows that all kinds of parameter estimators follow normal distributions in case of the normality of the experimental data,the least square estimators of the parameters are unbiased,finally,the variances of the estimators and independency are presented. |
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| Keywords: | orthogonal balanced block designs meeting balanced block designs generalized orthogonal arrays statistical model Parameter Estimator distribution characteristic |
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