A law of large numbers for arithmetic functions
نویسندگان
چکیده
منابع مشابه
A general strong law of large numbers for additive arithmetic functions
Let f(n) be a strongly additive complex valued arithmetic function. Under mild conditions on f , we prove the following weighted strong law of large numbers: if X, X1, X2, . . . is any sequence of integrable i.i.d. random variables, then lim N→∞ ∑ N n=1 f(n)Xn ∑ N n=1 f(n) a.s. = EX.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09517-8