STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES (II)

Title & Authors
STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES (II)
Sung, Soo-Hak;

Abstract
Let (X, $\small{X_{n}}$, n$\small{\geq}$1) be a sequence of i.i.d. random variables and { $\small{a_{ni}}$ , 1$\small{\leq}$i$\small{\leq}$n, n$\small{\geq}$1} be an array of constants. Let ø($\small{\chi}$) be a positive increasing function on (0, $\small{\infty}$) satisfying ø($\small{\chi}$) ↑ $\small{\infty}$ and ø(C$\small{\chi}$) = O(ø($\small{\chi}$)) for any C > 0. When EX = 0 and E[ø(｜X｜)]〈$\small{\infty}$, some conditions on ø and { $\small{a_{ni}}$ } are given under which (equation omitted).).
Keywords
strong laws of large numbers;almost sure convergence;weighted sums of i.i.d. random variables;arrays;
Language
English
Cited by
1.
STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES,;

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