Asymptotics of summands I: square integrable independent random variables
Abstract
This paper is part of series on selfcontained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review exposition but specially as a complete exposition expect a few exterior resources. For graduate students and for researchers (beginners or advanced), any paper of the series should be considered as a basis for constructing new results. The contents are taken from advanced books but the organization and the proofs use more recent tools, are given in more details and do not systematically follow previous one. Sometimes, theorems are completed and innovated
 Publication:

arXiv eprints
 Pub Date:
 August 2021
 arXiv:
 arXiv:2108.03394
 Bibcode:
 2021arXiv210803394B
 Keywords:

 Mathematics  Probability;
 60F05;
 60E07
 EPrint:
 8 pages