A REMARK ON MONOTONIC CONVOLUTION

DOI10.1142/S0219025705001871zbMath1168.46310OpenAlexW2021884097MaRDI QIDQ4673126

Hari Bercovici

Publication date: 29 April 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025705001871

zbMATH Keywords

Cauchy transformnoncommutative probability spacemonotonic independencemonotonic convolution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Noncommutative probability and statistics (46L53) Probability theory on algebraic and topological structures (60B99) Limit theorems in probability theory (60F99)

Related Items (4)

Strict limit types for monotone convolution ⋮ CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES ⋮ An operad of non-commutative independences defined by trees ⋮ MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS

Cites Work

• Addition of certain non-commuting random variables
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS

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