Central Limit Problem

1977 ◽  
pp. 280-352
Author(s):  
M. Loève
Keyword(s):  
Central Limit ◽  
Limit Problem ◽  
Central Limit Problem

Central limit problem and the thin shell conjecture

2014 ◽  
pp. 389-423
Author(s):  
Silouanos Brazitikos ◽  
Apostolos Giannopoulos ◽  
Petros Valettas ◽  
Beatrice-Helen Vritsiou
Keyword(s):  
Central Limit ◽  
Thin Shell ◽  
Limit Problem ◽  
Central Limit Problem

Central Limit Problem

2013 ◽  
pp. 243-285
Author(s):  
Aurel Spătaru
Keyword(s):  
Central Limit ◽  
Limit Problem ◽  
Central Limit Problem

scholarly journals Pointwise Translation of the Radon Transform and the General Central Limit Problem

1983 ◽  
Vol 11 (2) ◽  
pp. 277-301 ◽  
Author(s):  
Marjorie G. Hahn ◽  
Peter Hahan ◽  
Michael J. Klass
Keyword(s):  
Central Limit ◽  
Radon Transform ◽  
Limit Problem ◽  
Central Limit Problem

scholarly journals Notions of Independence Related to the Free Group

1998 ◽  
Vol 01 (02) ◽  
pp. 201-220 ◽  
Author(s):  
Luigi Accardi ◽  
Yukihiro Hashimoto ◽  
Nobuaki Obata
Keyword(s):  
Central Limit ◽  
Free Group ◽  
Limit Theorems ◽  
Fock Space ◽  
Limit Problem ◽  
Central Limit Theorems ◽  
Probability Spaces ◽  
Central Limit Problem ◽  
Singleton Condition

The central limit problem for algebraic probability spaces associated with the Haagerup states on the free group with countably many generators leads to a new form of statistical independence in which the singleton condition is not satisfied. This circumstance allows us to obtain nonsymmetric distributions from the central limit theorems deduced from this notion of independence. In the particular case of the Haagerup states, the role of the Gaussian law is played by the Ullman distribution. The limit process is explicitly realized on the finite temperature Boltzmannian Fock space. The role of entangled ergodic theorems in the proof of the central limit theorems is discussed.

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