Amini, M. (2007). Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables. Journal of Sciences, Islamic Republic of Iran, 18(4), 311-316.
M. Amini. "Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables". Journal of Sciences, Islamic Republic of Iran, 18, 4, 2007, 311-316.
Amini, M. (2007). 'Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables', Journal of Sciences, Islamic Republic of Iran, 18(4), pp. 311-316.
Amini, M. Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables. Journal of Sciences, Islamic Republic of Iran, 2007; 18(4): 311-316.
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
Abstract
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 .
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