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On the Relationship between the Baum-Katz-Spitzer Complete Convergence Theorem and the Law of the Iterated Logarithm
partial sums of i.i.d. Banach space-valued random variables Baum--Katz--Spitzer complete convergence theorem law of the iterated logarithm almost sure convergence
2007/12/11
For a sequence of i.i.d. Banach space-valued random variables $\{X_{n}; ~n \geq 1 \}$ and a sequence of positive constants $\{a_{n}; ~n \geq 1 \}$, the relationship between the Baum--Katz--Spitzer com...
A SUPPLEMENT TO THE BAUM-KATZ-SPITZER COMPLETE CONVERGENCE THEOREM
partial sums of i.i.d. Banach space valued random variables Baum--Katz--Spitzer complete convergence theorem almost sure convergence
2007/12/11
Let $ \{X,~X_{n};~n \geq 1 \}$ be a sequence of i.i.d. Banach space valued random variables and let $\{a_{n}; ~n \geq 1 \}$ be a sequence of positive constants such that \[ a_{n} \uparrow \infty ~~\mb...