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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables.
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نویسنده
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Amini M. ,Nili Sani H. R. ,Bozorgnia A.
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منبع
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journal of sciences islamic republic of iran - 2007 - دوره : 18 - شماره : 4 - صفحه:311 -316
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چکیده
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Let {x } n be a sequence of arbitrary random variables with exn = 0 and ex^2 n < (infinity) , for every n >= 1 and {ank} 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 (sigma)n j=1 anj xj,under some conditions on a nj and sequence {x n, n>= 1}.
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کلیدواژه
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Complete convergence; Weighted sums; Maximal inequalities; Pair-wise negative dependence.
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آدرس
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ferdowsi university of mashhad, Faculty of Mathematical Sciences , Department of Statistics , ایران, university of birjand, Department of Statistics , ایران, ferdowsi university of mashhad, Faculty of Mathematical Sciences , Department of Statistics , ایران
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پست الکترونیکی
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m-amini@ferdowsi.um.ac.ir
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Authors
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