On the Law of Large Numbers for Nonmeasurable Identically Distributed Random Variables
نویسندگان
چکیده
منابع مشابه
On the law of large numbers for free identically distributed random variables
A version of law of large numbers for free identically distributed random variables is considering at this work. It shown that lim t→∞ t μ (x : |x| > t) = 0 is a sufficient and necessary condition for the weak law of large numbers for the sequence X1, X2, ..., free random variables. 2000 Mathematical Subject Classification: 45L54, 60F05, 47C15
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In this paper, we generalize some results of Chandra and Goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). Furthermore, we give Baum and Katz’s [1] type results on estimate for the rate of convergence in these laws.
متن کاملON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
In this paper, we extend and generalize some recent results on the strong laws of large numbers (SLLN) for pairwise independent random variables [3]. No assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). Also Chandra’s result on Cesàro uniformly integrable r.v.’s is extended.
متن کاملMARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....
متن کاملon the convergence rate of the law of large numbers for sums of dependent random variables
in this paper, we generalize some results of chandra and goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). furthermore, we give baum and katz’s [1] type results on estimate for the rate of convergence in these laws.
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ژورنال
عنوان ژورنال: Bulletin of the Polish Academy of Sciences Mathematics
سال: 2013
ISSN: 0239-7269,1732-8985
DOI: 10.4064/ba61-2-10