Hoeffding spaces and Specht modules
Giovanni Peccati; Jean-Renaud Pycke
ESAIM: Probability and Statistics (2011)
- Volume: 15, page S58-S68
- ISSN: 1292-8100
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topPeccati, Giovanni, and Pycke, Jean-Renaud. "Hoeffding spaces and Specht modules." ESAIM: Probability and Statistics 15 (2011): S58-S68. <http://eudml.org/doc/197767>.
@article{Peccati2011,
abstract = {
It is proved that each Hoeffding space associated with a random permutation
(or, equivalently, with extractions without replacement from a finite
population) carries an irreducible representation of the symmetric group,
equivalent to a two-block Specht module.
},
author = {Peccati, Giovanni, Pycke, Jean-Renaud},
journal = {ESAIM: Probability and Statistics},
keywords = {Exchangeability; finite population
statistics; Hoeffding decompositions; irreducible representations; random
permutations; Specht modules; symmetric group},
language = {eng},
month = {5},
pages = {S58-S68},
publisher = {EDP Sciences},
title = {Hoeffding spaces and Specht modules},
url = {http://eudml.org/doc/197767},
volume = {15},
year = {2011},
}
TY - JOUR
AU - Peccati, Giovanni
AU - Pycke, Jean-Renaud
TI - Hoeffding spaces and Specht modules
JO - ESAIM: Probability and Statistics
DA - 2011/5//
PB - EDP Sciences
VL - 15
SP - S58
EP - S68
AB -
It is proved that each Hoeffding space associated with a random permutation
(or, equivalently, with extractions without replacement from a finite
population) carries an irreducible representation of the symmetric group,
equivalent to a two-block Specht module.
LA - eng
KW - Exchangeability; finite population
statistics; Hoeffding decompositions; irreducible representations; random
permutations; Specht modules; symmetric group
UR - http://eudml.org/doc/197767
ER -
References
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