Stability of characterizations of normal distributions based on the conditional expected values of the sample skewness and the sample kurtosis |
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Authors: | Truc T Nguyen Khoan T Dinh |
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Institution: | (1) Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, USA (e-mail: tnguyen@bgnet.bgsu.edu), US;(2) US Environmental Protection Agency, Washington, DC 20460, USA (e-mail: dinh.khoan@epamail.epa.gov), US |
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Abstract: | Characterizations of normal distributions given by Nguyen and Dinh (1998) based on conditional expected values of the sample
skewness and the sample kurtosis, given the sample mean and the sample variance, are shown to be stable.
Received: September 1998 |
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Keywords: | : Conditional density function characteristic function conditional moment small parameter |
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