On computing the constant in the berry-esseen inequality for a class of distributions

1993 ◽  
Vol 32 (4) ◽  
pp. 410-413
Author(s):  
A. Mitalauskas
Keyword(s):  
Esseen Inequality

scholarly journals A conditional Berry–Esseen inequality

2019 ◽  
Vol 56 (01) ◽  
pp. 76-90
Author(s):  
Thierry Klein ◽  
Agnés Lagnoux ◽  
Pierre Petit
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Random Variables ◽  
Esseen Inequality ◽  
Independent And Identically Distributed

AbstractAs an extension of a central limit theorem established by Svante Janson, we prove a Berry–Esseen inequality for a sum of independent and identically distributed random variables conditioned by a sum of independent and identically distributed integer-valued random variables.

The Esseen inequality for sums of a random number of differently distributed random variables

1977 ◽  
Vol 22 (1) ◽  
pp. 569-571 ◽  
Author(s):  
Kh. Batirov ◽  
D. V. Manevich ◽  
S. V. Nagaev
Keyword(s):  
Random Number ◽  
Random Variables ◽  
Esseen Inequality ◽  
Inequality For Sums

A generalization of the Esseen inequality for the concentration function

1987 ◽  
Vol 36 (4) ◽  
pp. 473-476 ◽  
Author(s):  
A. I. Daugavet ◽  
V. V. Petrov
Keyword(s):  
Concentration Function ◽  
Esseen Inequality
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