On the convergence of uncertain random sequences |
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| Authors: | H Ahmadzade Y Sheng M Esfahani |
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| Institution: | 1.Department of Mathematical Sciences,University of Sistan and Baluchestan,Zahedan,Iran;2.College of Mathematical and System Sciences,Xinjiang University,ürümqi,China;3.Department of Mathematics,Velayat University,Iranshahr,Iran |
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| Abstract: | In this paper, a useful inequality for central moment of uncertain random variables is proved. Based on this inequality, a convergence theorem for sum of uncertain random variables is derived. A Borel–Cantelli lemma for chance measure is obtained based on the continuity assumption of uncertain measure. Finally, several convergence theorems for uncertain random sequences are established. |
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