An estimate of the remainder term of the asymptotic expansion in the local limit theorem for densities

1977 ◽  
Vol 17 (4) ◽  
pp. 512-519
Author(s):  
P. G. Inževitov
Keyword(s):  
Asymptotic Expansion ◽  
Limit Theorem ◽  
Remainder Term ◽  
Local Limit Theorem ◽  
Local Limit

scholarly journals Local limit theorem and asymptotic expansion for the Sums of independent lattice random variables

1966 ◽  
Vol 6 (4) ◽  
pp. 569-583
Author(s):  
A. Mitalauskas ◽  
V. Statulevičius
Keyword(s):  
Asymptotic Expansion ◽  
Limit Theorem ◽  
Local Limit Theorem ◽  
Random Variables ◽  
Local Limit ◽  
Independent Lattice

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. А. Миталаускас, В. А. Статулявичюс. Локальные предельные теоремы и асимптотические разложения для сумм независимых решетчатых случайных величин A. Mitalauskas, V. Statulevičius. Lokalinė ribinė teorema ir asimptotinis išdėstymas nepriklausomų rėtinių atsitiktinių dydžių sumom

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
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