The variance upper bound for a mixed random variable
Resumen:
In this note, we derive upper bounds on the variance of a mixed random variable. Our results are an extension of previous results for unimodal and symmetric random variables. The novelty of our findings is that this mixed random variable does not necessary need to be symmetric and is multimodal. We also characterize the cases when these bounds are optimal.
| 2017 | |
|
Gruss’ inequality Popoviciu’s inequality Unimodal Symmetry |
|
| Inglés | |
| Universidad de Montevideo | |
| REDUM | |
| https://hdl.handle.net/20.500.12806/1359 | |
| Acceso abierto | |
| Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
| _version_ | 1807356682130423808 |
|---|---|
| author | Egozcue, Martín |
| author2 | Fuentes García, Luis |
| author2_role | author |
| author_facet | Egozcue, Martín Fuentes García, Luis |
| author_role | author |
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| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://redum.um.edu.uy/bitstream/20.500.12806/1359/1/The_variance_upper_bound_for_a_mixed_random_variable.pdf http://redum.um.edu.uy/bitstream/20.500.12806/1359/2/license_rdf http://redum.um.edu.uy/bitstream/20.500.12806/1359/3/license.txt http://redum.um.edu.uy/bitstream/20.500.12806/1359/4/The_variance_upper_bound_for_a_mixed_random_variable.pdf.txt http://redum.um.edu.uy/bitstream/20.500.12806/1359/5/The_variance_upper_bound_for_a_mixed_random_variable.pdf.jpg |
| collection | REDUM |
| dc.contributor.filiacion.es.fl_str_mv | Egozcue, Martín. Universidad de Montevideo, Uruguay Fuentes García, Luis. Universidad de Coruña, España |
| dc.creator.none.fl_str_mv | Egozcue, Martín Fuentes García, Luis |
| dc.date.accessioned.none.fl_str_mv | 2022-07-04T19:29:57Z |
| dc.date.available.none.fl_str_mv | 2022-07-04T19:29:57Z |
| dc.date.issued.es.fl_str_mv | 2017 |
| dc.description.abstract.none.fl_txt_mv | In this note, we derive upper bounds on the variance of a mixed random variable. Our results are an extension of previous results for unimodal and symmetric random variables. The novelty of our findings is that this mixed random variable does not necessary need to be symmetric and is multimodal. We also characterize the cases when these bounds are optimal. |
| dc.format.extent.es.fl_str_mv | 9 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12806/1359 |
| dc.language.iso.none.fl_str_mv | eng |
| dc.publisher.es.fl_str_mv | Universidad de Montevideo, Facultad de Ciencias Empresariales y Economía, Departamento de Economía |
| dc.relation.ispartof.es.fl_str_mv | Documentos de trabajo del Departamento de Economía |
| dc.rights.es.fl_str_mv | Abierto |
| dc.rights.license.none.fl_str_mv | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.rights.uri.*.fl_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.source.none.fl_str_mv | reponame:REDUM instname:Universidad de Montevideo instacron:Universidad de Montevideo |
| dc.subject.es.fl_str_mv | Gruss’ inequality Popoviciu’s inequality Unimodal Symmetry |
| dc.title.none.fl_str_mv | The variance upper bound for a mixed random variable |
| dc.type.es.fl_str_mv | Documento de trabajo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/workingPaper |
| dc.type.version.es.fl_str_mv | Publicada |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | In this note, we derive upper bounds on the variance of a mixed random variable. Our results are an extension of previous results for unimodal and symmetric random variables. The novelty of our findings is that this mixed random variable does not necessary need to be symmetric and is multimodal. We also characterize the cases when these bounds are optimal. |
| eu_rights_str_mv | openAccess |
| format | workingPaper |
| id | REDUM_c673be5bc07354d83c60f737ca30ecb1 |
| instacron_str | Universidad de Montevideo |
| institution | Universidad de Montevideo |
| instname_str | Universidad de Montevideo |
| language | eng |
| network_acronym_str | REDUM |
| network_name_str | REDUM |
| oai_identifier_str | oai:redum.um.edu.uy:20.500.12806/1359 |
| publishDate | 2017 |
| reponame_str | REDUM |
| repository.mail.fl_str_mv | nolascoaga@um.edu.uy |
| repository.name.fl_str_mv | REDUM - Universidad de Montevideo |
| repository_id_str | 10501 |
| rights_invalid_str_mv | Attribution-NonCommercial-NoDerivatives 4.0 Internacional Abierto http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spelling | Attribution-NonCommercial-NoDerivatives 4.0 InternacionalAbiertohttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccess6749b2f7-2793-4ef0-b00f-52ae933b20f061841357-6480-40d4-9466-ef28cee2c0e5Egozcue, Martín. Universidad de Montevideo, UruguayFuentes García, Luis. Universidad de Coruña, España2022-07-04T19:29:57Z2022-07-04T19:29:57Z2017https://hdl.handle.net/20.500.12806/1359In this note, we derive upper bounds on the variance of a mixed random variable. Our results are an extension of previous results for unimodal and symmetric random variables. The novelty of our findings is that this mixed random variable does not necessary need to be symmetric and is multimodal. We also characterize the cases when these bounds are optimal.9 p.application/pdfengUniversidad de Montevideo, Facultad de Ciencias Empresariales y Economía, Departamento de EconomíaDocumentos de trabajo del Departamento de EconomíaGruss’ inequalityPopoviciu’s inequalityUnimodalSymmetryThe variance upper bound for a mixed random variableDocumento de trabajoPublicadainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/workingPaperreponame:REDUMinstname:Universidad de Montevideoinstacron:Universidad de MontevideoEgozcue, MartínFuentes García, LuisORIGINALThe_variance_upper_bound_for_a_mixed_random_variable.pdfThe_variance_upper_bound_for_a_mixed_random_variable.pdfapplication/pdf702680http://redum.um.edu.uy/bitstream/20.500.12806/1359/1/The_variance_upper_bound_for_a_mixed_random_variable.pdfd01b514d0a4883994e0adfa602b898e6MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://redum.um.edu.uy/bitstream/20.500.12806/1359/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82117http://redum.um.edu.uy/bitstream/20.500.12806/1359/3/license.txt691ed290c8bf8671811a9242b7fc04b6MD53TEXTThe_variance_upper_bound_for_a_mixed_random_variable.pdf.txtThe_variance_upper_bound_for_a_mixed_random_variable.pdf.txtExtracted texttext/plain11525http://redum.um.edu.uy/bitstream/20.500.12806/1359/4/The_variance_upper_bound_for_a_mixed_random_variable.pdf.txt1e5e60e48b669fdb574002a8ff605681MD54THUMBNAILThe_variance_upper_bound_for_a_mixed_random_variable.pdf.jpgThe_variance_upper_bound_for_a_mixed_random_variable.pdf.jpgGenerated Thumbnailimage/jpeg1532http://redum.um.edu.uy/bitstream/20.500.12806/1359/5/The_variance_upper_bound_for_a_mixed_random_variable.pdf.jpgdf8adb468cb950b33eba138cd5518748MD5520.500.12806/13592024-06-04 03:00:19.678oai:redum.um.edu.uy:20.500.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Universidadhttps://um.edu.uy/https://redum.um.edu.uy/oai/requestnolascoaga@um.edu.uyUruguayopendoar:105012024-06-04T06:00:19REDUM - Universidad de Montevideofalse |
| spellingShingle | The variance upper bound for a mixed random variable Egozcue, Martín Gruss’ inequality Popoviciu’s inequality Unimodal Symmetry |
| status_str | publishedVersion |
| title | The variance upper bound for a mixed random variable |
| title_full | The variance upper bound for a mixed random variable |
| title_fullStr | The variance upper bound for a mixed random variable |
| title_full_unstemmed | The variance upper bound for a mixed random variable |
| title_short | The variance upper bound for a mixed random variable |
| title_sort | The variance upper bound for a mixed random variable |
| topic | Gruss’ inequality Popoviciu’s inequality Unimodal Symmetry |
| url | https://hdl.handle.net/20.500.12806/1359 |
