A multiplicative short proof for the unimodality of stable densities
Résumé
Revisiting an article by Chernin and Ibragimov on unimodality of stable laws, we show that their approach to deduce the general case from the extremal ones, whose completion contained an error as discovered later by Kanter, can be carried out successfully in considering Bochner's subordination and multiplicative strong unimodality. This short proof of the unimodality of all stable densities yields also a multiplicative counterpart to Yamazato's additive ones.
Domaines
Mathématiques [math]Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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