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Anti-concentration inequalities for log-concave variables on the real line (2505.05793v1)
Published 9 May 2025 in math.PR, cs.IT, and math.IT
Abstract: 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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