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Artículo
Multiple q-integral and records from geometrically distributed sequences
dc.creator | López Blázquez, José Fernando | es |
dc.creator | Salamanca Miño, Begoña | es |
dc.date.accessioned | 2023-04-25T09:08:12Z | |
dc.date.available | 2023-04-25T09:08:12Z | |
dc.date.issued | 2022-07-01 | |
dc.identifier.issn | 2227-7390 | es |
dc.identifier.uri | https://hdl.handle.net/11441/144836 | |
dc.description.abstract | We study the distribution theory of some statistics related to records from a sequence of geometrically distributed random variables. The main novelty in this study is the introduction of q-calculus techniques. We obtain representations for the probability functions of some variables of interest, such as, for instance, record times, number of records, inter-record times, record indicators, etc., in terms of multiple q-integrals. It is remarkable to note that the expressions thus obtained are q-analogues of the corresponding well-known results in the absolutely continuous case. We also explore a duality between the results in the case of weak and ordinary records. | es |
dc.format | application/pdf | es |
dc.format.extent | 17 p. | es |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | weak and ordinary records | es |
dc.subject | geometric distributions | es |
dc.subject | Jackson integral | es |
dc.subject | multiple q-integral | es |
dc.subject | q-Stirling numbers | es |
dc.title | Multiple q-integral and records from geometrically distributed sequences | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa | es |
dc.relation.publisherversion | https://doi.org/10.3390/math10132313 | es |
dc.identifier.doi | 10.3390/math10132313 | es |
dc.contributor.group | Universidad de Sevilla. FQM331: Metodos y Modelos de la Estadistica y la Investigacion Operativa | es |
dc.journaltitle | MATHEMATICS | es |
dc.publication.volumen | 10 | es |
dc.publication.issue | 13 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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multiple.pdf | 319.0Kb | [PDF] | Ver/ | |