Skitovich–Darmois Theorem for Discrete and Compact Totally Disconnected Abelian Groups
The classic Skitovich–Darmois theorem states that the Gaussian distribution on the real line can be characterized by the independence of two linear forms of n independent random variables. We generalize the Skitovich–Darmois theorem to discrete Abelian groups, compact totally disconnected Abelian gr...
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| Date: | 2013 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2013
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2480 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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