ON THE DISTRIBUTION TAIL OF A SUM OF RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES

I. E. Danielyan

doi:10.46991/PYSUA.2003.37.2.140

ON THE DISTRIBUTION TAIL OF A SUM OF RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES

Authors

I. E. Danielyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2003.37.2.140

Keywords:

random index, distribution tail of a sum of random number, random variables

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.

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Published

2003-06-03

Issue

Vol. 37 No. 2 (201) (2003)

Section

Short Communications

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Danielyan, I. E. (2003). ON THE DISTRIBUTION TAIL OF A SUM OF RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES. Proceedings of the YSU A: Physical and Mathematical Sciences, 37(2 (201), 140-142. https://doi.org/10.46991/PYSUA.2003.37.2.140