J4 ›› 2012, Vol. 47 ›› Issue (7): 76-80.

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The law of large numbers under subliear expectations and its applications

LIU Zhi   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2012-05-01 Online:2012-07-20 Published:2012-09-01

Abstract:

Under the uniformly integrable condition, the law of large numbers under sublinear expectations was obtained, and this result was applied to finance. Specially, this result was applied to g-expectations and some limit properties are obtained.

Key words:  law of large numbers; subliear expectations; g-expectations

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