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We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majorization techniques to recover and extend some recent and not so recent results.

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Anti-concentration Inequalities for Log-Concave Variables on the Real Line

  • 会议论文

  • 发表日期：

    2025年

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  • Tulio Gaxiola,
  • James Melbourne,
  • Vincent Pigno,
  • Emma Pollard

摘要

We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majorization techniques to recover and extend some recent and not so recent results.