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Maximal Probability Inequalities in Vector Lattices

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Abstract

We generalize some maximal probability inequalities, proven for a class of random variables, to the measure-free setting of Riesz spaces. We prove generalizations of the Kolmogorov inequality, Hájek–Rényi inequality, Lévy’s inequality and Etemadi’s inequality.

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Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397,  Sabzevar, Iran

    Mahin Sadat Divandar & Ghadir Sadeghi

  2. Center Of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Mashhad, Iran

    Ghadir Sadeghi

Authors
  1. Mahin Sadat Divandar
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  2. Ghadir Sadeghi
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Correspondence to Ghadir Sadeghi.

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Divandar, M.S., Sadeghi, G. Maximal Probability Inequalities in Vector Lattices. Results Math 77, 108 (2022). https://doi.org/10.1007/s00025-022-01637-0

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