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Rosenthal inequality for NOD sequences and its applications |
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| Authors: | Shixin Gan Pingyan Chen Dehua Qiu |
| Affiliation: | GAN Shixin1,CHEN Pingyan2,QIU Dehua3 1.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China,2.Department of Mathematics,Jinan University,Guangzhou 510630,Guangdong,3.Department of Mathematics and Computer Science,Guangdong Business College,Guangzhou 510320 |
| Abstract: | Rosenthal inequality for NOD(negatively orthant dependent) random variable sequences is established.As its applications,two theorems of complete convergence of weighted sums for arrays of NOD random variables are given,which extend the corresponding known results. |
| Keywords: | Rosenthal inequality array NOD(negatively orthant dependent) random variable sequence complete convergence |
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