Publication
A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale
| Summary: | Partial frontiers have been recently developed in order to overcome several drawbacks of the traditional nonparametric techniques. These robust frontier (order-a and order-m) methods avoid the curse of dimensionality, are less sensitive to outliers and extreme data and may include direct environmental information in the model. Nonetheless, the disadvantages of these partial frontier-based methods according to the formulation proposed in the literature are that they do not allow weight restrictions or non-variable returns to scale technology. The procedure here proposed is an extension of the traditional order-a method, allowing the estimation of an empirical convex a-level, assuming also some additional constraints, such as the virtual weight restrictions and non-variable returns to scale. In the particular case of nonconvex attainable sets, unrestricted formulations and variable returns to scale assumption, the proposed procedure returns the same results as the standard order-a |
|---|---|
| Main Authors: | Ferreira, Diogo |
| Other Authors: | Marques, Rui Cunha |
| Subject: | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| Year: | 2020 |
| Country: | Portugal |
| Document type: | article |
| Access type: | open access |
| Associated institution: | Universidade de Lisboa |
| Language: | English |
| Origin: | Repositório da Universidade de Lisboa |
| _version_ | 1866810557556850688 |
|---|---|
| author | Ferreira, Diogo |
| author2 | Marques, Rui Cunha |
| author2_role | author |
| author_facet | Ferreira, Diogo Marques, Rui Cunha |
| author_role | author |
| contributor_name_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Ferreira, Diogo\",\"Person.identifier.orcid\":\"0000-0001-5418-9337\"},{\"Person.name\":\"Marques, Rui Cunha\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| datacite.creators.creator.creatorName.fl_str_mv | Ferreira, Diogo Marques, Rui Cunha |
| datacite.date.Accepted.fl_str_mv | 2020-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2023-08-31T13:28:30Z |
| datacite.date.embargoed.fl_str_mv | 2023-08-31T13:28:30Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| datacite.titles.title.fl_str_mv | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| dc.contributor.none.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| dc.creator.none.fl_str_mv | Ferreira, Diogo Marques, Rui Cunha |
| dc.date.Accepted.fl_str_mv | 2020-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2023-08-31T13:28:30Z |
| dc.date.embargoed.fl_str_mv | 2023-08-31T13:28:30Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10400.5/28349 |
| dc.language.none.fl_str_mv | eng |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| dc.title.fl_str_mv | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | Partial frontiers have been recently developed in order to overcome several drawbacks of the traditional nonparametric techniques. These robust frontier (order-a and order-m) methods avoid the curse of dimensionality, are less sensitive to outliers and extreme data and may include direct environmental information in the model. Nonetheless, the disadvantages of these partial frontier-based methods according to the formulation proposed in the literature are that they do not allow weight restrictions or non-variable returns to scale technology. The procedure here proposed is an extension of the traditional order-a method, allowing the estimation of an empirical convex a-level, assuming also some additional constraints, such as the virtual weight restrictions and non-variable returns to scale. In the particular case of nonconvex attainable sets, unrestricted formulations and variable returns to scale assumption, the proposed procedure returns the same results as the standard order-a |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorio.ulisboa.pt/bitstreams/e906cded-3e94-484d-8c13-6d865eca73f7/download |
| id | ul_481aba53e7dfeb8873cdcc0e973a976c |
| identifier.url.fl_str_mv | http://hdl.handle.net/10400.5/28349 |
| instacron_str | ul |
| institution | Universidade de Lisboa |
| instname_str | Universidade de Lisboa |
| language | eng |
| network_acronym_str | ul |
| network_name_str | Repositório da Universidade de Lisboa |
| oai_identifier_str | oai:repositorio.ulisboa.pt:10400.5/28349 |
| organization_str_mv | urn:organizationAcronym:ul |
| person_str_mv | Ferreira, Diogo Ferreira, Diogo https://www.ciencia-id.pt/CF13-9741-551E CF13-9741-551E http://orcid.org/0000-0001-5418-9337 0000-0001-5418-9337 Marques, Rui Cunha |
| publishDate | 2020 |
| reponame_str | Repositório da Universidade de Lisboa |
| repository_id_str | urn:repositoryAcronym:ul |
| service_str_mv | urn:repositoryAcronym:ul |
| spelling | engpt_PTPartial frontiers have been recently developed in order to overcome several drawbacks of the traditional nonparametric techniques. These robust frontier (order-a and order-m) methods avoid the curse of dimensionality, are less sensitive to outliers and extreme data and may include direct environmental information in the model. Nonetheless, the disadvantages of these partial frontier-based methods according to the formulation proposed in the literature are that they do not allow weight restrictions or non-variable returns to scale technology. The procedure here proposed is an extension of the traditional order-a method, allowing the estimation of an empirical convex a-level, assuming also some additional constraints, such as the virtual weight restrictions and non-variable returns to scale. In the particular case of nonconvex attainable sets, unrestricted formulations and variable returns to scale assumption, the proposed procedure returns the same results as the standard order-aapplication/pdfpt_PTA step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scalePersonalFerreira, DiogoDSpacehttp://dspace.org/items/7ee3508c-76f3-4d20-9c76-b3b727b02f93DSpacehttp://dspace.org/items/7ee3508c-76f3-4d20-9c76-b3b727b02f93Cunha FerreiraDiogo FilipeCiência IDhttps://www.ciencia-id.ptCF13-9741-551EORCIDhttp://orcid.org0000-0001-5418-9337Marques, Rui CunhaHostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.ptDOIIsPartOf10.1007/s12351-017-0370-12023-08-31T13:28:30Z20202020-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.5/28349http://purl.org/coar/access_right/c_abf2open accessData envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity719248 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal article2020http://creativecommons.org/licenses/by/4.0/http://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/e906cded-3e94-484d-8c13-6d865eca73f7/downloadOperational Research20210111046 |
| spellingShingle | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale Ferreira, Diogo Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| status | SINGLETON |
| subject.fl_str_mv | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| title | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| title_full | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| title_fullStr | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| title_full_unstemmed | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| title_short | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| title_sort | A step forward on order-α robust nonparametric method: inclusion of weight restrictions, convexity and non-variable returns to scale |
| topic | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| topic_facet | Data envelopment analysis, Order-a, Free disposal hull, Weight restrictions, Returns to scale, Convexity |
| url | http://hdl.handle.net/10400.5/28349 |
| visible | 1 |