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Strong laws for weighted sums of i.i.d. random variables (II)
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Abstract
Let {X, X_n, nge 1} be a sequence of i.i.d. randomvariables and {a_{ni}, 1le ile n, nge 1 } be an array ofconstants. Let phi (x) be a positive increasing function on(0, infty) satisfying phi(x) uparrow infty quad text{and}quad phi(Cx)=O(phi(x)) for any C>0. When EX=0 and E[phi(|X|)]<infty, some conditions on phi and {a_{ni}} aregiven under whichsum_{i=1}^n a_{ni} X_i to 0 a.s.
관련 논문AI추천
Strong laws for weighted sums of i.i.d. random variablesGuang-hui Cai대한수학회 · 대한수학회논문집2006 · 제21권 제4호Strong laws of large numbers for weighted sums of negatively dependent random variables고미화, 김태성, 한광희대한수학회 · 대한수학회지2006 · 제43권 제6호Weak Laws for Weighted Sums of Random Variables성수학대한수학회 · 대한수학회보2004 · 제41권 제2호Convergence of weighted sums for dependent random variablesDong-Xia Zhang, Han-Ying Liang, Jong-Il Baek대한수학회 · 대한수학회지2004 · 제41권 제5호On the almost sure convergence of weighted sums of negatively associated random variables박성태, 백종일, 서혜영, 정성모대한수학회 · 대한수학회논문집2005 · 제20권 제3호On the weak law for weighted sums indexed by random variables under negatively associated arraysDong-Myong Lee, Jong-Il Baek대한수학회 · 대한수학회논문집2003 · 제18권 제1호
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