Almost sure convergence of weighted series of contractions
نویسندگان
چکیده
منابع مشابه
THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
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in this paper we study the almost universal convergence of weighted sums for sequence {x ,n } of negatively dependent (nd) uniformly bounded random variables, where a, k21 is an may of nonnegative real numbers such that 0(k ) for every ?> 0 and e|x | f | =0 , f = ?(x ,…, x ) for every n>l.
متن کاملthe almost sure convergence for weighted sums of linear negatively dependent random variables
in this paper, we generalize a theorem of shao [12] by assuming that is a sequence of linear negatively dependent random variables. also, we extend some theorems of chao [6] and thrum [14]. it is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of real numbe...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2002
ISSN: 0019-2082
DOI: 10.1215/ijm/1258136137