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单位球均匀分布的拟合优度检验

Keywords: 均匀分布,渐近卡方分布,拟合优度检验

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Abstract:

为了做单位球均匀分布的拟合优度检验,提出了单位球均匀分布拟合优度检验统计量X~2,证明了单位球均匀分布的充要条件表示定理,得到了X~2的渐近卡方分布.证明了拟合优度检验的相合性,对X~2经验分布函数的收敛速度及检验功效进行了随机模拟.模拟结果表明,样本容量n≥10时,高维数据单位球均匀分布检验具有有效性.

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