논문KCI 등재
On the complete convergence for weighted sums of dependent random variables under condition of weighted integrability
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초록
Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
Abstract
Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
참고문헌 (10)
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- K. Joag-Dev, "Negative association of random variables, with applications", Annals of Statistics, 11(1), pp.286~295 (1983)
- T. S. Kim, "On the strong law for asymptotically almost negatively associated random variables", Rocky Mountain Journal of Mathematics, 34(3), pp.979~989 (2004)
- D. Landers, "Laws of large numbers for pairwise independent uniformly integrable random variables", Mathematische Nachrichten, 130, pp.189~192 (1987)
- E. L. Lehmann, "Some concepts of dependence", The Annals of Mathematical Statistics, 37, pp.1137~1153 (1966)
- P. Matula, "A note on the almost sure convergence of sums of negatively dependent random variables", Statistics & Probability Letters, 15(3), pp.209~213 (1992)
- M. Ordonez Cabrera, "Convergence of weighted sums of random variables and uniform integrability concerning the weights", Collectanea Mathematica, 45(2), pp.121~132 (1994)
- M. Ordonez Cabrera, "Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability", Australian Journal of Mathematical Analysis and Applications, 305(2), pp.644~658 (2005)
관련 논문AI추천
On the complete convergence for arrays of rowwise extended negatively dependent random variablesAndrei Volodin, Dehua Qiu, Pingyan Chen, Rita Giuliano Antonini대한수학회 · 대한수학회지2013 · 제50권 제2호Weak laws of large numbers for arrays under a condition of uniform integrability성수학, Andrei Volodin, Supranee Lisawadi대한수학회 · 대한수학회지2008 · 제45권 제1호Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2019 · 제56권 제4호On the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables백종일, 서혜영, 최정열, Gil-Hwan Lee대한수학회 · 대한수학회지2009 · 제46권 제4호On the strong law of large numbers for weighted sums of negatively superadditive dependent random variablesAiting Shen대한수학회 · 대한수학회지2016 · 제53권 제1호On the rate of complete convergence for weighted sums of arrays of random elements성수학, Andrei I. Volodin대한수학회 · 대한수학회지2006 · 제43권 제4호
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