AbstractLet N = {1, 2, ...} and let {Xi:i ∈ Nd1} and {Yj:j ∈ Nd2} be two families of i.i.d. integrable random variables. Let S(nA) be the sum of those XiYj′s for which A ⊂ [0,1]d, d = d1 + d2 and (i/n,,j/n) ∈ A. It is proved that S(·) satisfies a strong law of large numbers that is uniform over A, where A is a family of subsets of [0, 1]d satisfying some conditions
We give a necessary and sufficient condition for the strong (C, α) law of large numbers with real or...
This paper establishes two results for the strong law of large numbers under negative association an...
This thesis presents an up-to-date survey of results concerning laws of large numbers for sequences ...
AbstractLet N = {1, 2, ...} and let {Xi:i ∈ Nd1} and {Yj:j ∈ Nd2} be two families of i.i.d. integrab...
Let N = {1, 2, ...} and let {Xi:i [set membership, variant] Nd1} and {Yj:j [set membership, variant]...
Let 0 < p ≤ 2, let {Xn; n ≥ 1} be a sequence of independent copies of a real-val...
The validity of the strong law of large numbers for multiple sums Sn of independent identically dis...
AbstractFor the sequence of ρ˜-mixing identically distributed random variables, we show two general ...
Abstract – In this paper, strong laws of large numbers (SLLN) are obtained for the sums ∑
AbstractConsider a set-indexed partial sum process {ΣjεJn Yj, n ⩾ 1} where {Yn, n ⩾ 1} are identical...
Under uniform integrability condition, some Weak Laws of large numbers are established for weighted ...
Abstract—For independent identically distributed random variables, the Marcinkiewicz strong law of l...
Strong laws of large numbers are obtained for sums of random variables Xi satisfying moment conditio...
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are ...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
We give a necessary and sufficient condition for the strong (C, α) law of large numbers with real or...
This paper establishes two results for the strong law of large numbers under negative association an...
This thesis presents an up-to-date survey of results concerning laws of large numbers for sequences ...
AbstractLet N = {1, 2, ...} and let {Xi:i ∈ Nd1} and {Yj:j ∈ Nd2} be two families of i.i.d. integrab...
Let N = {1, 2, ...} and let {Xi:i [set membership, variant] Nd1} and {Yj:j [set membership, variant]...
Let 0 < p ≤ 2, let {Xn; n ≥ 1} be a sequence of independent copies of a real-val...
The validity of the strong law of large numbers for multiple sums Sn of independent identically dis...
AbstractFor the sequence of ρ˜-mixing identically distributed random variables, we show two general ...
Abstract – In this paper, strong laws of large numbers (SLLN) are obtained for the sums ∑
AbstractConsider a set-indexed partial sum process {ΣjεJn Yj, n ⩾ 1} where {Yn, n ⩾ 1} are identical...
Under uniform integrability condition, some Weak Laws of large numbers are established for weighted ...
Abstract—For independent identically distributed random variables, the Marcinkiewicz strong law of l...
Strong laws of large numbers are obtained for sums of random variables Xi satisfying moment conditio...
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are ...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
We give a necessary and sufficient condition for the strong (C, α) law of large numbers with real or...
This paper establishes two results for the strong law of large numbers under negative association an...
This thesis presents an up-to-date survey of results concerning laws of large numbers for sequences ...
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