Arkiv för Matematik

A proof of Bondesson’s conjecture on stable densities

Pierre Bosch and Thomas Simon

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

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Ark. Mat., Volume 54, Number 1 (2016), 31-38.

Received: 11 November 2014
First available in Project Euclid: 30 January 2017

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Bosch, Pierre; Simon, Thomas. A proof of Bondesson’s conjecture on stable densities. Ark. Mat. 54 (2016), no. 1, 31--38. doi:10.1007/s11512-015-0216-0.

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