Relations between cumulants in noncommutative probability
By Octavio Arizmendi, Takahiro Hasebe, Franz Lehner, Carlos Vargas. 2014
57 citations recorded by the source corpus.
Abstract We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determine the coefficients of these formulas with the exception of the formula for classical cumulants in terms of monotone cumulants whose coefficients are only partially computed.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/7a390dc4a1a3b2d66c65cb6d8411889a430f9427
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Statistics and Probability
Citations in the corpus
- Free Probability and Random Matrices (2014, background): “For other notions of cumulants and the relation between them see [10, 74, 117, 153].”