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Rosenthal inequality for NOD sequences and its applications

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Wuhan University Journal of Natural Sciences

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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Shixin Gan

  2. Department of Mathematics, Jinan University, Guangzhou, 510630, Guangdong, China

    Pingyan Chen

  3. Department of Mathematics and Computer Science, Guangdong Business College, Guangzhou, 510320, Guangdong, China

    Dehua Qiu

Authors
  1. Shixin Gan
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  2. Pingyan Chen
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  3. Dehua Qiu
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Corresponding author

Correspondence to Shixin Gan.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (10671149, 60574002)

Biography: GAN Shixin, male, Professor, research direction: probability limiting theory, martingale theory and Banach space geometry theory.

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Gan, S., Chen, P. & Qiu, D. Rosenthal inequality for NOD sequences and its applications. Wuhan Univ. J. Nat. Sci. 16, 185–189 (2011). https://doi.org/10.1007/s11859-011-0734-y

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  • DOI: https://doi.org/10.1007/s11859-011-0734-y

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