## Bernoulli

• Bernoulli
• Volume 19, Number 5A (2013), 1818-1838.

### Further examples of GGC and HCM densities

#### Abstract

We display several examples of generalized gamma convoluted and hyperbolically completely monotone random variables related to positive $\alpha$-stable laws. We also obtain new factorizations for the latter, refining Kanter’s and Pestana–Shanbhag–Sreehari’s. These results give stronger credit to Bondesson’s hypothesis that positive $\alpha$-stable densities are hyperbolically completely monotone whenever $\alpha\le1/2$.

#### Article information

Source
Bernoulli, Volume 19, Number 5A (2013), 1818-1838.

Dates
First available in Project Euclid: 5 November 2013

https://projecteuclid.org/euclid.bj/1383661204

Digital Object Identifier
doi:10.3150/12-BEJ431

Mathematical Reviews number (MathSciNet)
MR3129035

Zentralblatt MATH identifier
1303.60016

#### Citation

Jedidi, Wissem; Simon, Thomas. Further examples of GGC and HCM densities. Bernoulli 19 (2013), no. 5A, 1818--1838. doi:10.3150/12-BEJ431. https://projecteuclid.org/euclid.bj/1383661204

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