Chinese Annals of Mathematics, Series B

, Volume 40, Issue 1, pp 117–130 | Cite as

Rosenthal’s Inequalities for Asymptotically Almost Negatively Associated Random Variables Under Upper Expectations

  • Ning Zhang
  • Yuting LanEmail author


In this paper, the authors generalize the concept of asymptotically almost negatively associated random variables from the classic probability space to the upper ex- pectation space. Within the framework, the authors prove some different types of Rosen- thal’s inequalities for sub-additive expectations. Finally, the authors prove a strong law of large numbers as the application of Rosenthal’s inequalities.


Upper expectations Asymptotically almost negatively associated Rosenthal’s inequalities Strong law of large numbers 

2000 MR Subject Classification

60E15 60F15 


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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of MathematicsShandong UniversityJi’nanChina
  2. 2.School of Statistics and ManagementShanghai University of Finance and EconomicsShanghaiChina

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