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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

Article 2, Volume 18, Issue 4, Autumn 2007, Page 311-316  XML PDF (87.54 K)
Document Type: Original/Research Paper
Author
M. Amini*
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 .
Statistics
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