The asymptotic equivalence of some modified Shapiro-Wilks statistics - complete and censored sample cases (Q1110218)
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scientific article; zbMATH DE number 4072165
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotic equivalence of some modified Shapiro-Wilks statistics - complete and censored sample cases |
scientific article; zbMATH DE number 4072165 |
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The asymptotic equivalence of some modified Shapiro-Wilks statistics - complete and censored sample cases (English)
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1987
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The Shapiro-Wilks statistic and its modifications are widely applied in tests for normality. We establish the asymptotic equivalence of a class of statistics based on different choices of normal scores. In particular, we conclude that the Shapiro-Francia, Filliben, Weisberg-Bingham and de Wet-Venter versions of the statistic are asymptotically equivalent. Our results also apply to the Type I and Type II censored data cases.
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correlation tests of normality
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modified Shapiro-Wilks statistics
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Shapiro-Francia statistic
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asymptotic equivalence
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normal scores
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censored data
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