A SIMPLE PROOF FOR MONOTONE CLT

DOI10.1142/S0219025710004073zbMath1204.46034arXiv0912.3728OpenAlexW2964186679MaRDI QIDQ3580212

Hayato Saigo

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/0912.3728

zbMATH Keywords

central limit theoremmonotone independencepeakless pair partitions

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53)

Related Items (3)

The monotone cumulants ⋮ A NEW LOOK AT THE ARCSINE LAW AND "QUANTUM-CLASSICAL CORRESPONDENCE" ⋮ CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS

Cites Work

• Noncommutative Brownian motion in monotone Fock space
• Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
• ON A CENTRAL LIMIT THEOREM FOR MONOTONE NOISE
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS

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