Three classes of decomposable distributions

Wissem Jedidi, Kholoud Basalim, Safa Bridaa
2020 Open Mathematics  
In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab. 28 (2015), 1689–1725] on subordinators obtained by the class of Bernstein functions stable by the Mellin-Euler differential operator I-x\tfrac{\text{d}}{\text{d}x} by giving a stochastic interpretation, proving monotonicity properties of the related distributions and providing additional extensions.
doi:10.1515/math-2020-0124 fatcat:f3el3ncxvvg3bl6wgg33nl2igy