
Digital Library of the
European Council for Modelling and Simulation 
Title: 
On Convergence Of The Distributions Of Random Sums And Statistics
Constructed From Samples With Random Sizes To Exponential Power Laws 
Authors: 
Victor Korolev, Maria E. Grigoryeva, Alexander Zeifman 
Published in: 
(2014).ECMS 2014 Proceedings edited
by: Flaminio Squazzoni,
Fabio Baronio, Claudia Archetti,
Marco Castellani European Council for
Modeling and Simulation. doi:10.7148/2014 ISBN:
9780956494481 28^{th}
European Conference on Modelling and Simulation, Brescia,
Italy, May 27^{th} – 30^{th},
2014 
Citation
format: 
Victor
Korolev, Maria E. Grigoryeva,
Alexander Zeifman (2014). On Convergence Of The Distributions Of Random Sums And Statistics
Constructed From Samples With Random Sizes To Exponential Power Laws, ECMS
2014 Proceedings edited by: Flaminio Squazzoni, Fabio Baronio,
Claudia Archetti, Marco Castellani European
Council for Modeling and Simulation. doi:10.7148/20140583 
DOI: 
http://dx.doi.org/10.7148/20140583 
Abstract: 
Limit theorems are proved
establishing criteria of convergence of the distributions of random sums and
statistics constructed from samples with random sizes to exponential power
laws. 
Full
text: 