# bm-independence and central limit theorems associated with symmetric cones

Banach Center Publications (2007)

- Volume: 78, Issue: 1, page 315-320
- ISSN: 0137-6934

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topJanusz Wysoczański. "bm-independence and central limit theorems associated with symmetric cones." Banach Center Publications 78.1 (2007): 315-320. <http://eudml.org/doc/282201>.

@article{JanuszWysoczański2007,

abstract = {We present a generalization of the classical central limit theorem to the case of non-commuting random variables which are bm-independent and indexed by a partially ordered set. As the set of indices I we consider discrete lattices in symmetric positive cones, with the order given by the cones. We show that the limit measures have moments which satisfy recurrences generalizing the recurrence for the Catalan numbers.},

author = {Janusz Wysoczański},

journal = {Banach Center Publications},

keywords = {bm-independence; non-commutative central limit theorem; symmetric cones},

language = {eng},

number = {1},

pages = {315-320},

title = {bm-independence and central limit theorems associated with symmetric cones},

url = {http://eudml.org/doc/282201},

volume = {78},

year = {2007},

}

TY - JOUR

AU - Janusz Wysoczański

TI - bm-independence and central limit theorems associated with symmetric cones

JO - Banach Center Publications

PY - 2007

VL - 78

IS - 1

SP - 315

EP - 320

AB - We present a generalization of the classical central limit theorem to the case of non-commuting random variables which are bm-independent and indexed by a partially ordered set. As the set of indices I we consider discrete lattices in symmetric positive cones, with the order given by the cones. We show that the limit measures have moments which satisfy recurrences generalizing the recurrence for the Catalan numbers.

LA - eng

KW - bm-independence; non-commutative central limit theorem; symmetric cones

UR - http://eudml.org/doc/282201

ER -

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