Abstract
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random variables proved by Voiculescu. The Central Limit Theorem in this paper relies on an assumption which is weaker than freeness.
| Original language | English |
|---|---|
| Pages (from-to) | 44-58 |
| Number of pages | 15 |
| Journal | Electronic Communications in Probability |
| Volume | 12 |
| DOIs | |
| State | Published - Mar 5 2007 |
Keywords
- Central limit theorem
- Free convolution
- Free independence
- Free probability
- Lindeberg method
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