The range of a nonatomic vector measure in ℝ 3
Using the Neyman-Pearson lemma we give a method for finding the range of three nonatomic probability measures. Next we use this result to construct an explicit form of this range in the case, where the densities corresponding to these measures satisfy an additional assumption.
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| Veröffentlicht in: | ITM web of conferences 2018, Vol.20, p.3004 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Using the Neyman-Pearson lemma we give a method for finding the range of three nonatomic probability measures. Next we use this result to construct an explicit form of this range in the case, where the densities corresponding to these measures satisfy an additional assumption. |
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| ISSN: | 2271-2097 2271-2097 |
| DOI: | 10.1051/itmconf/20182003004 |