Strong Law of Large Numbers for Sums of Products
نویسندگان
چکیده
Let X;Xn, n ≥ 1, be a sequence of independent identically distributed random variables. We give necessary and sufficient conditions for the strong law of large numbers n−k/p ∑ 1≤i1 x as x → ∞, without further conditions, and for general X and k under a condition on the growth of the truncated mean of X. Randomized, centered, squared and decoupled strong laws and general normalizing sequences are also considered.
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