Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables |
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Authors: | Yongfeng Wu |
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Institution: | a Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China b Department of Mathematics and Physics, Hefei University, Hefei 230022, China |
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Abstract: | Under some conditions of uniform integrability and appropriate conditions, mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables are obtained. Our results extend and improve the results of H.S. Sung, S. Lisawadi, A. Volodin, Weak laws of large numbers for arrays under a condition of uniform integrability, J. Korean Math. Soc. 45 (2008) 289-300] and M. Ordóñez Cabrera, A. Volodin, Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability, J. Math. Anal. Appl. 305 (2005) 644-658]. |
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Keywords: | Mean convergence Weak laws of large numbers Uniform integrability Negative quadrant dependent Linearly negative quadrant dependent |
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