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多元分布拟合优度检验研究进展
引用本文:苏岩.多元分布拟合优度检验研究进展[J].保定师专学报,2011(3):1-7.
作者姓名:苏岩
作者单位:华北电力大学数理学院;
基金项目:华北电力大学博士学位教师基金“概率分布拟合优度检验”(932090905)
摘    要:探讨多元概率分布的构造理论与多元概率分布拟合优度的各种检验方法,指出拟合优度检验在多元数据分析中的重要作用.阐述基于单位球的多元概率分布拟合优度检验的独特的理论意义,探讨回归模型有效性检验的研究路径,强调小样本理论与大样本理论在统计模型检验中的综合应用.

关 键 词:多元分布  均匀分布  单位球  拟合优度检验

The Study of Goodness-of-Fit Tests for Multivariate Distributions
Su Yan.The Study of Goodness-of-Fit Tests for Multivariate Distributions[J].Journal of Baoding Teachers College,2011(3):1-7.
Authors:Su Yan
Institution:Su Yan (School of Mathematics and Physics,North China Electric Power University,Baoding 071003,China)
Abstract:The construction of multivariate distributions and the various methods of goodness-of-fit tests for multivariate distributions are introduced,the important action of goodness-of-fit tests in multivariate analysis is pointed out. The distinctive theoretical meaning of goodness- of-fit tests based on unit sphere for multivariate distributions is expounded,the exploratory road map of model validity tests is stated,the synthetic use of small sample theory and large sample theory in statistical model tests is em...
Keywords:multivariate distribution  uniform distribution  unit sphere  goodness-of-fit test  
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