Strong Laws for Ruled Sums
نویسندگان
چکیده
منابع مشابه
Strong Laws for Weighted Sums of Negative Dependent Random Variables
In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.
متن کاملstrong laws for weighted sums of negative dependent random variables
in this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. the results on i.i.d case of soo hak sung [9] are generalized and extended.
متن کاملStrong Laws for Weighted Sums of I.i.d. Random Variables
Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. The result obtained extends and sharpens the result of Sung.
متن کاملComplete Convergences and Strong Laws of Large Numbers for Weighted Sums Pairwise Nqd Random Variables Sequence
Let {Xn, n ≥ 1} be a sequence of pairwise NQD random variables. Some complete convergences and strong laws of large numbers for a weighted sums sequence of pairwise NQD random variables are obtained. The results obtainted generalize the results of Cabrera and Volodin (see [3]).
متن کاملStrong Laws of Large Numbers for Weighted Sums of Random Elements in Normed Linear Spaces
Consider a sequence of independent random elements {Vn, n > in a real separable normed linear space (assumed to be a Banach space in most of the results), and sequences of constants {a,, n > and {ha, n with 0 < b, "[" oo. Sets of conditions are provided for {an(V EVn) n > to obey a general strong law of large numbers of the form aj(Vj EVj)/bn --> 0 almost certainly. The hypotheses involve the d...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1971
ISSN: 0003-4851
DOI: 10.1214/aoms/1177693412