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<p>In this work we extend the classical Efron-Stein and Hoeffding-Azuma inequalities to the abstract context of Riesz spaces. Our approach relies on a generalized concept of conditional variance and the introduction of abstract copies of elements within this setting.</p>

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Efron-Stein and Hoeffding-Azuma inequalities in Riesz Spaces

  • 期刊论文

  • 发表日期：

    2026年1月20日

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  • Tarik Boukara,
  • Driss Gretete,
  • Kawtar Ramdane

摘要

In this work we extend the classical Efron-Stein and Hoeffding-Azuma inequalities to the abstract context of Riesz spaces. Our approach relies on a generalized concept of conditional variance and the introduction of abstract copies of elements within this setting.