A multiplicative short proof for the ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
A multiplicative short proof for the unimodality of stable densities
Author(s) :
Journal title :
Electronic Communications in Probability
Pages :
623-629
Publisher :
Institute of Mathematical Statistics (IMS)
Publication date :
2011-10-09
ISSN :
1083-589X
English keyword(s) :
Stable law
unimodality
unimodality
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
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, ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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