Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/102687
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kovacec, Alexander | - |
dc.contributor.author | Moreira, Miguel M. R. | - |
dc.contributor.author | Martins, David P. | - |
dc.date.accessioned | 2022-10-06T09:37:04Z | - |
dc.date.available | 2022-10-06T09:37:04Z | - |
dc.date.issued | 2014 | - |
dc.identifier.issn | 2300-7451 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/102687 | - |
dc.description.abstract | Alon and Yuster give for independent identically distributed real or vector valued random variables X, Y combinatorially proved estimates of the form Prob(‖X − Y‖ b) c Prob(‖X − Y‖ a). We derive these using copositive matrices instead. By the same method we also give estimates for the real valued case, involving X + Y and X − Y, due to Siegmund-Schultze and von Weizsäcker as generalized by Dong, Li and Li. Furthermore, we formulate a version of the above inequalities as an integral inequality for monotone functions. | pt |
dc.language.iso | eng | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt |
dc.subject | probabilistic inequalities | pt |
dc.subject | copositivity | pt |
dc.subject | integral inequality | pt |
dc.title | The 123 theorem of Probability Theory and Copositive Matrices | pt |
dc.type | article | - |
degois.publication.firstPage | 155 | pt |
degois.publication.lastPage | 164 | pt |
degois.publication.issue | 1 | pt |
degois.publication.title | Special Matrices | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.2478/spma-2014-0016 | pt |
degois.publication.volume | 2 | pt |
dc.date.embargo | 2014-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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The-123-theorem-of-probability-theory-and-copositive-matricesSpecial-Matrices.pdf | 416.81 kB | Adobe PDF | View/Open |
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