Cumulants of a convolution and applications to monotone probability theory

2009/05/21 by Takahiro Hasebe, Hasebe, Takahiro
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #46L53 #46L54 #60E10 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Probability and Risk Models #Random Matrices and Applications #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.0905.3446

openalex publication_date 2009/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The contents are divided into two papers "The Monotone Cumulants" (arXiv:0907.4896) and "Conditionally monotone independence" (arXiv:0907.5473).

Citations

• Cumulants in noncommutative probability theory II

Related

• Multiplicative Monotone Convolution
• Cumulants for finite free convolution
• Law of Large Numbers for Monotone Convolution
• Cumulants and convolutions via Abel polynomials
• Combinatorics of NC-Probability Spaces with Independent Constants