| Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of L_q-mixingale Arrays |
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| 作者姓名： | Gan Shi-xin School of Mathematics and Statistics Wuhan University Wuhan Hubei China |
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| 作者单位： | Gan Shi-xin School of Mathematics and Statistics，Wuhan University，Wuhan 430072，Hubei，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (1 0 0 71 0 58) |
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| 摘 要： | 1 PreliminariesLet(Ω ,F ,P)beaprobabilityspace .Let{Xn ,t,n ,t≥1} denoteanarrayofrandomvariableson (Ω ,F ,P) .Let{Fn,t,-∞ 0 ,‖X‖qisdefinedas(E｜X｜q) 1q ,whereXisanLqintegrablerandomvariable .AnLqintegrablearray{Xn,t,Fn ,t}iscalledanLq mixin galearrayifthereexistnonnegativeconstants{Cn ,t,n ,t≥ 1}and { ψ(m) ,m≥ 0 } suchthatψ(m) ↓ 0asm→∞andforallt≥ 1andm ≥ 0 wehave‖ (X…
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Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of Lq-mixingale Arrays |
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| Gan Shi-xin School of Mathematics and Statistics,Wuhan University,Wuhan ,Hubei,China.Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of L_q-mixingale Arrays[J].Wuhan University Journal of Natural Sciences,2003,8(4). |
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| Authors: | GAN Shi-xin |
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| Abstract: | L_r convergence and convergence in probability for weighted sums of L_q-mixingale arrays have been discussed and the Marcinkiewicz type weak law of large numbers for L_q-mixingale arrays has been obtained. |
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| Keywords: | L_q-mixingale array L_r convergence convergence in probability Marcinkiewicz type weak of large numbers |
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