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arXiv · 2609.26558

Powers of generalized gamma convolutions

Min Wang·Sheng Yin
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Abstract

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.

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Min Wang, Sheng Yin. 2026-09-22. Powers of generalized gamma convolutions. https://arxiv.org/abs/2609.26558

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