Characterizations of normal distributions supporting goodness-of-fit tests based on sample skewness and sample kurtosis

被引:0
|
作者
Truc T. Nguyen
Khoan T. Dinh
机构
[1]  Department of Mathematics and Statistics,
[2] Bowling Green State University,undefined
[3] Bowling Green,undefined
[4] OH 43403-0221,undefined
[5] USA (e-mail: tnguyen@bgnet.bgsu.edu),undefined
[6]  US Environmental Protection Agency,undefined
[7] Washington,undefined
[8] DC 20460,undefined
[9] USA (e-mail: dinh.khoan@epamail.epa.gov),undefined
来源
Metrika | 1998年 / 48卷
关键词
Key words: Conditional density function; characteristic function; EDF; moment;
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摘要
Two characterizations of normal distributions based on the third conditional moment and the fourth conditional moment, respectively, are given. These results theoretically support the goodness-of-fit tests for normal distributions using the sample skewness and the sample kurtosis.
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页码:21 / 30
页数:9
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