Characterization of Normal Distribution Related to Two Samples Based on Regression |
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| Authors: | Dhanuja Kasturiratna Truc T Nguyen Arjun K Gupta |
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| Institution: | (1) Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA |
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| Abstract: | Characterization of normal distribution related to two samples based on second conditional moments has been obtained. This characterization has been transformed to a characterization based on the UMVU estimators of the density function. These results are generalized to k samples from normal distributions. Finally applications of these characterization results to goodness-of-fit test are discussed. |
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| Keywords: | Primary 62E10 Secondary 62F03 |
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