Detection of multivariate outliers with dispersion slippage in elliptically symmetric distributions (Q1107236)
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scientific article; zbMATH DE number 4064277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Detection of multivariate outliers with dispersion slippage in elliptically symmetric distributions |
scientific article; zbMATH DE number 4064277 |
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Detection of multivariate outliers with dispersion slippage in elliptically symmetric distributions (English)
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1986
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In this paper \textit{T. S. Ferguson}'s [Proc. Fourth Berkeley Symp. Math. Statist. Probab. 1, 253-287 (1961; Zbl 0129.327)] univariate normal results for detection of outliers with variance slippage are extended to the multivariate elliptically symmetric case with dispersion slippage. The locally optimum test we derive possesses all three robustness properties, optimality, null and nonnull, and is based on Mardia's multivariate kurtosis statistic.
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detection of outliers
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variance slippage
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multivariate elliptically symmetric case
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dispersion slippage
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locally optimum test
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Mardia's multivariate kurtosis statistic
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