Relations between statistics for testing exponentiality and uniformity |
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| Authors: | Iain D Currie Michael A Stephens |
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| Abstract: | It is shown that Greenwood's statistic for uniformity and the Hahn-Shapiro and Stephens statistics for exponentiality with known origin are equivalent. It is also shown that the distribution of the Shapiro-Wilk statistic for testing the hypothesis of exponentiality with unknown origin is obtainable from the distribution of Greenwood's statistic. |
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| Keywords: | Exponential distribution uniform distribution Greenwood's statistic W-tests |
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