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On stability of trimmed sums
Extreme terms lightIy trimmed sums almost sure convergence strong law of large numbers
2009/9/21
Let (X., n 2 1) be a sequence of ii.d. random variables
and let {a,,, n 3 1) and (b,, n 2 I} be sequences of constants where
0 < b,f a. Let Xi1', XIzf, . . ., Xt' be a rearrangement of XI, .. ., X,
...
Some LIL type results on the partial sums and trimmed sums with multidimensional indices
random variable strong limit theorem LIL type result
2009/3/27
Let {X, Xn; n ∈ Nd} be a field of i.i.d. random variables indexed by d-tuples of positive integers and let Sn=∑k≤nXk. We prove some strong limit theorems for Sn. Also, when d≥ 2 and h(n) satisfies som...
Some LIL type results on the partial sums and trimmed sums with multidimensional indices
LIL type results partial sums trimmed sums
2009/3/23
Let {X, Xn; n ∈ Nd} be a field of i.i.d. random variables indexed by d-tuples of positive integers and let Sn=∑k≤nXk. We prove some strong limit theorems for Sn. Also, when d≥ 2 and h(n) satisfies som...