I. E. Danielyan, “On the distribution tail of sum of random number of independent random variables”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, Issue 2,Pages <nobr>140

Communications
Mathematics

On the distribution tail of sum of random number of independent random variables

I. E. Danielyan

Yerevan State University

Abstract: Regular variation conditions for distribution tail of a sum of random number of independent random variables are established. It is assumed that the random index does not depend on the summands.

Keywords: Random variables, distribution tail of sum.

UDC: 518.519

Received: 13.01.2003
Accepted: 03.06.2003