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arXiv · 1411.3369

A proof of Bondesson's conjecture on stable densities

Pierre Bosch·Thomas Simon
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Abstract

We show that positive $\alpha$-stable densities are hyperbolically completely monotone if and only if $\alpha \le 1/2$. This gives a positive answer to a question raised by L. Bondesson in 1977.

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Pierre Bosch, Thomas Simon. 2014-11-12. A proof of Bondesson's conjecture on stable densities. https://doi.org/10.1007/s11512-015-0216-0

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