Local limit theorem for the particle number in spin lattice systems

1991 ◽  
Vol 89 (2) ◽  
pp. 1138-1146 ◽  
Author(s):  
V. A. Arzumanyan ◽  
B. S. Nakhapetyan ◽  
S. K. Pogosyan
Keyword(s):  
Limit Theorem ◽  
Particle Number ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Lattice Systems ◽  
Spin Lattice

Estimate of convergence rate in local limit theorem for the particle number in spin systems

1993 ◽  
Vol 95 (3) ◽  
pp. 738-747
Author(s):  
B. S. Nakhapetyan ◽  
S. K. Pogosyan
Keyword(s):  
Limit Theorem ◽  
Convergence Rate ◽  
Particle Number ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Spin Systems ◽  
Estimate Of Convergence Rate

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.

scholarly journals On the Local Limit Theorem for a Critical Galton–Watson Process

2006 ◽  
Vol 50 (3) ◽  
pp. 400-419 ◽  
Author(s):  
S. V. Nagaev ◽  
V. I. Vakhtel
Keyword(s):  
Limit Theorem ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Watson Process

A Local Limit Theorem for the Distribution of Fractional Parts of an Exponential Function

1979 ◽  
Vol 23 (3) ◽  
pp. 521-528 ◽  
Author(s):  
D. A. Moskvin ◽  
A. G. Postnikov
Keyword(s):  
Limit Theorem ◽  
Exponential Function ◽  
Local Limit Theorem ◽  
Local Limit

On the Application of a Smoothness Function in Proving a Local Limit Theorem

1989 ◽  
Vol 33 (2) ◽  
pp. 352-355 ◽  
Author(s):  
N. G. Gamkrelidze
Keyword(s):  
Limit Theorem ◽  
Local Limit Theorem ◽  
Local Limit

scholarly journals A generalized local limit theorem for mixing semi-flows

2008 ◽  
Vol 37 (1) ◽  
pp. 215-240 ◽  
Author(s):  
Yukiko IWATA
Keyword(s):  
Limit Theorem ◽  
Local Limit Theorem ◽  
Local Limit
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