University of Tehran
Journal of Sciences, Islamic Republic of Iran
1016-1104
18
4
2007
12
01
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
311
316
35073
EN
M.
Amini
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University
of Mashhad, Mashhad, Islamic Republic of Iran
Journal Article
2007
08
27
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdf