发表机构
School of Mathematics and Statistics, Wuhan University of Technology; Institute for Advanced Study in Mathematics, Harbin Institute of Technology（武汉理工大学数学与统计学院; 哈尔滨工业大学高等研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对Bondesson关于广义伽马卷积类在大于1阶幂下封闭性的猜想，给出了一个候选证明。
AI 中文摘要
2015年，Bondesson证明了Thorin类的广义伽马卷积（GGCs）具有在独立随机变量乘法下封闭的显著性质。他还猜想GGC类在取大于1阶的幂下是封闭的。在本文中，我们为Bondesson的猜想提供了一个候选证明。
英文摘要
In 2015, Bondesson showed that Thorin's class of generalized gamma convolutions (GGCs) has the remarkable property of being closed under multiplication of independent random variables. He also conjectured that the GGC class is closed under taking powers of order greater than one. In this paper, we provide a candidate proof for Bondesson's conjecture.
Comments28 pages
