scholarly journals Central limit problem on Lp (p ≥ 2) II. Compactness of infinitely divisible laws

1977 ◽  
Vol 7 (3) ◽  
pp. 363-373 ◽  
Author(s):  
G.G. Hamedani ◽  
V. Mandrekar
Keyword(s):  
Central Limit ◽  
Limit Problem ◽  
Infinitely Divisible ◽  
Infinitely Divisible Laws ◽  
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

scholarly journals A martingale central limit theorem without negligibility conditions

1978 ◽  
Vol 18 (1) ◽  
pp. 13-19 ◽  
Author(s):  
Robert J. Adler
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Sufficient Conditions ◽  
Infinitely Divisible ◽  
Martingale Central Limit Theorem ◽  
Triangular Arrays ◽  
Infinitely Divisible Laws ◽  
Martingale Case

We obtain sufficient conditions for the convergence of martingale triangular arrays to infinitely divisible laws with finite variances, without making the usual assumptions of uniform asymptotic negligibility. Our results generalise known results for both the martingale case under a negligibility assumption and the classical (independence) case without such assumptions.

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
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