Limit theorems for randomly weighted sums of random elements in normed linear spaces
نویسندگان
چکیده
منابع مشابه
Strong 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: Journal of Multivariate Analysis
سال: 1988
ISSN: 0047-259X
DOI: 10.1016/0047-259x(88)90158-3