AI 中文总结
研究对数正态分布的熵，通过找到具有更大熵的密度族，反驳了2024年一篇论文中对数正态密度在特定密度类中具有最大熵的说法。
AI 中文摘要
2024年Novi Inverardi和Tagliani的一篇论文称，对数正态密度在与对数正态密度具有相同矩的密度类中具有最大熵。我们通过找到一个具有更大熵的密度族来反驳这一说法。
英文摘要
In a paper by Novi Inverardi and Tagliani from 2024 it is claimed that the log-normal density has maximal entropy in the class of densities having the same moments as the log-normal density. We disprove the claim by finding a family of densities with larger entropy.
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