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Asymptotic behaviour of the Urbanik semigroup
| dc.creator | Berg, Christian | es_ES |
| dc.creator | López García, José Luis | es_ES |
| dc.date.accessioned | 2020-10-28T10:17:44Z | |
| dc.date.available | 2020-10-28T10:17:44Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.uri | https://hdl.handle.net/2454/38549 | |
| dc.description.abstract | We revisit the product convolution semigroup of probability densities ec(t); c > 0 on the positive half-line with moments (n!)c and determine the asymptotic behaviour of ec for large and small t > 0. This shows that (n!)c is indeterminate as Stieltjes moment sequence if and only if c > 2. When c is a natural number ec is a Meijer-G function. From the results about ec we obtain the asymptotic behaviour at 1 of the convolution roots of the Gumbel distribution. | en |
| dc.description.sponsorship | The first author has been supported by grant 10-083122 from The Danish Council for Independent Research/Natural Sciences. The second author has been supported by grant MTM2010-21037 from the Dirección General de Ciencia y Tecnología. | en |
| dc.format.extent | 16 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Journal of Approximation Theory 195 (2015) 109-121 | en |
| dc.rights | © 2014 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Product convolution semigroup | en |
| dc.subject | Asymptotic approximation of integrals | en |
| dc.subject | Laplace and saddle point methods | en |
| dc.subject | Moment problems | en |
| dc.subject | Gumbel distribution | en |
| dc.title | Asymptotic behaviour of the Urbanik semigroup | en |
| dc.type | Artículo / Artikulua | es |
| dc.type | info:eu-repo/semantics/article | en |
| dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
| dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.identifier.doi | 10.1016/j.jat.2014.05.006 | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.jat.2014.05.006 | |
| dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
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