On rates of convergence to infinitely divisible laws for dependent random variables

1980 ◽  
Vol 8 (2) ◽  
pp. 235-247
Author(s):  
A. K. Basu
Keyword(s):  
Random Variables ◽  
Rates Of Convergence ◽  
Infinitely Divisible ◽  
Dependent Random Variables ◽  
Infinitely Divisible Laws

On the Strong Rates of Convergence for Arrays of Rowwise Negatively Dependent Random Variables

2011 ◽  
Vol 29 (3) ◽  
pp. 375-385 ◽  
Author(s):  
Qiu Dehua ◽  
Kuang-Chao Chang ◽  
Rita Giuliano Antonini ◽  
Andrei Volodin
Keyword(s):  
Random Variables ◽  
Rates Of Convergence ◽  
Dependent Random Variables ◽  
Negatively Dependent Random Variables

scholarly journals Moment inequalities connected with accompanying Poisson laws in Abelian groups

2003 ◽  
Vol 2003 (44) ◽  
pp. 2771-2786 ◽  
Author(s):  
I. S. Borisov
Keyword(s):  
Abelian Group ◽  
Abelian Groups ◽  
Random Variables ◽  
Empirical Processes ◽  
Independent Random Variables ◽  
Moment Inequalities ◽  
Infinitely Divisible ◽  
Infinitely Divisible Laws

We obtain exact inequalities which connect moments of some functions of sums of independent random variables taking values in a measurable Abelian group and those for the accompanying infinitely divisible laws. Some applications to empirical processes are studied.

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