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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...
