A Test for the Homogeneity of Mixtures with Varying Concentrations
We construct a generalized version of the Kolmogorov–Smirnov test for the verification of a hypothesis concerning the homogeneity of a sample against an alternative sample from a mixture with varying concentrations. We obtain asymptotic formulas and nonasymptotic upper bounds for the probabilities o...
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4513 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We construct a generalized version of the Kolmogorov–Smirnov test for the verification of a hypothesis concerning the homogeneity of a sample against an alternative sample from a mixture with varying concentrations. We obtain asymptotic formulas and nonasymptotic upper bounds for the probabilities of errors of the first and second kinds. |
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