Monotonic independence, monotonic central limit theorem and monotonic law of small numbers. (English) Zbl 1046.46049
Summary: A notion of “monotonic independence” is formulated in the setting of \(C^*\)-probability spaces. Based on this independence, a noncommutative central limit theorem and a non-commutative law of small numbers are given.
MSC:
| 46L53 | Noncommutative probability and statistics |
| 60B99 | Probability theory on algebraic and topological structures |
| 60F99 | Limit theorems in probability theory |
References:
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