DECAY OF CONVOLVED DENSITIES VIA LAPLACE TRANSFORM

• 成果类型: Article
• 署名作者: Bobkov, Sergey G.
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/23-AOP1625
• 发表日期: 2023
• 页码: 1603-1615
• 关键词: youngs-inequality; renyi divergence; bernoulli; converse; entropy; FAMILY

摘要

Upper pointwise bounds are considered for convolution of bounded densities in terms of the associated Laplace and Legendre transforms. Applications of these bounds are illustrated in the central limit theorem with respect to the Renyi divergence.