MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS

By N. Muraki. 2001

156 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2817e08214a1a7c1b2d3567fdfc720c1b33985a4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. D. Voiculescu
2. Hayato Saigo
3. Takahiro Hasebe

In Management Science and Operations Research

1. D. Voiculescu
2. Hayato Saigo
3. Takahiro Hasebe

In Statistics and Probability

1. D. Voiculescu
2. Hayato Saigo
3. Takahiro Hasebe
4. Roland Speicher
5. Victor Vinnikov

Citations in the corpus

• Free Probability for Pairs of Faces I (2013, background): “Bi-freeness may be related to a number of recent non-commutative independencies ([2], [1], [5], [6], [7], [11]).”
• The monotone cumulants (2009, background): “It is known that this gives a determinate moment sequence and the limit distribution is called the monotone Poisson distribution (see [1,2,10,11]).”