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带有误差变量的偏度和峰度正态性检验
引用本文:崔恒建,陈广雷. 带有误差变量的偏度和峰度正态性检验[J]. 北京师范大学学报(自然科学版), 2000, 36(1): 9-13
作者姓名:崔恒建  陈广雷
作者单位:北京师范大学数学系,100875,北京
摘    要:考虑带有误差变量的正态检验问题,提出了亲折偏度和峰度正态性度验统计量,证明了在零假设成立时,所提出的偏度和峰度检验统计量具有渐近正态的优良性质,模拟计算也表明所提出的检验统计量有良好的功效。

关 键 词:带有误差变量  正态性检验  偏度统计量  峰度统计量  渐近性质

SKEWNESS AND KURTOSIS STATISTICS FOR TESTING NORMALITY IN EV MODEL
Cui Hengjian,Chen Guanglei. SKEWNESS AND KURTOSIS STATISTICS FOR TESTING NORMALITY IN EV MODEL[J]. Journal of Beijing Normal University(Natural Science), 2000, 36(1): 9-13
Authors:Cui Hengjian  Chen Guanglei
Abstract:A new approach on testing normality in error in variable (EV) model based on the skewness and kurtosis test statistics is proposed. The asymptotic distributions of these test statistics under null hypotheses are obtained. The behaviour of the test statistics is good against some alternative distributions by simulation.
Keywords:error in variable  test of normality  skewness  kurtosis  asymptotic properties
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