Complete Convergence for Maximal Sums of Negatively Associated Random Variables
نویسندگان
چکیده
منابع مشابه
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
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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Abstract. Let {Xn,n≥1} be a sequence of negatively superadditive dependent (NSD, in short) random variables and {ank,1≤ k≤n,n≥1} be an array of real numbers. Under some suitable conditions, we present some results on complete convergence for weighted sums ∑k=1ankXk of NSD random variables by using the Rosenthal type inequality. The results obtained in the paper generalize some corresponding one...
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ژورنال
عنوان ژورنال: Journal of Probability and Statistics
سال: 2010
ISSN: 1687-952X,1687-9538
DOI: 10.1155/2010/764043