Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 2، دوره 18، شماره 4، 2007، صفحه 311-316 اصل مقاله (87.54 K) | ||
| نوع مقاله: Original Research Articles | ||
| نویسنده | ||
| M. Amini* | ||
| Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran | ||
| چکیده | ||
| 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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