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math.PRApr 9, 2019
6
citations (OpenAlex)
authors
  • Yongsheng Song
arXiv abstractPDF
paper

Stein's Method for Law of Large Numbers under Sublinear Expectations

arXiv:1904.04674

Abstract

Peng, S. (\cite{P08b}) proved the law of large numbers under a sublinear expectation. In this paper, we give its error estimates by Stein's method.

References in corpus (4)

  • A New Central Limit Theorem under Sublinear Expectations
  • Normal Approximation by Stein's Method under Sublinear Expectations
  • Limit theorems with rate of convergence under sublinear expectations
  • On Shige Peng's central limit theorem

Cited by in corpus (3)

  • A monotone scheme for G-equations with application to the explicit convergence rate of robust central limit theorem
  • Discrete-time approximation for backward stochastic differential equations driven by G-Brownian motion
  • A note on the convergence rate of Peng's law of large numbers under sublinear expectations
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