Rate of convergence in the multidimensional limit theorem with a stable limit law

1976 ◽  
Vol 15 (1) ◽  
pp. 168-184 ◽  
Author(s):  
V. Paulauskas
Keyword(s):  
Limit Theorem ◽  
Rate Of Convergence ◽  
Stable Limit

Rate-of-convergence in the multivariate max-stable limit theorem

1997 ◽  
Vol 32 (2) ◽  
pp. 115-123 ◽  
Author(s):  
Makoto Maejima ◽  
Svetlozar T. Rachev
Keyword(s):  
Limit Theorem ◽  
Rate Of Convergence ◽  
Stable Limit

scholarly journals Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 880
Author(s):  
Igoris Belovas
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Normal Distribution ◽  
Rate Of Convergence ◽  
Limit Theorems ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Constructive Proof ◽  
The Central Limit Theorem ◽  
Local Limit Theorems

In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of convergence to the limiting (normal) distribution, as well as a new proof of the local limit theorem for the numbers of the tribonacci triangle.

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