{"id":"https://openalex.org/W2903110849","doi":"https://doi.org/10.14736/kyb-2018-5-0958","title":"Rank theory approach to ridge, LASSO, preliminary test and Stein-type estimators: Comparative study","display_name":"Rank theory approach to ridge, LASSO, preliminary test and Stein-type estimators: Comparative study","publication_year":2018,"publication_date":"2018-11-30","ids":{"openalex":"https://openalex.org/W2903110849","doi":"https://doi.org/10.14736/kyb-2018-5-0958","mag":"2903110849"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2018-5-0958","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2018-5-0958","pdf_url":"https://www.kybernetika.cz/content/2018/5/958/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2018/5/958/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054617261","display_name":"A. K. Md. Ehsanes Saleh","orcid":"https://orcid.org/0000-0001-5748-0840"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. K. Md. Ehsanes Saleh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014645333","display_name":"Radim Navr\u00e1til","orcid":"https://orcid.org/0000-0003-4778-5469"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radim Navr\u00e1til","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054617261"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15036128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"958","last_page":"977"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9368000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9092000126838684,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7271474599838257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6508791446685791},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6406793594360352},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5818978548049927},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.5750532746315002},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.5669277310371399},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5160929560661316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42896559834480286},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.40847423672676086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24767810106277466},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16967174410820007},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.11760228872299194},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.10704943537712097}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7271474599838257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6508791446685791},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6406793594360352},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5818978548049927},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.5750532746315002},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.5669277310371399},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5160929560661316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42896559834480286},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.40847423672676086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24767810106277466},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16967174410820007},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.11760228872299194},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.10704943537712097},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2018-5-0958","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2018-5-0958","pdf_url":"https://www.kybernetika.cz/content/2018/5/958/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147537","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147537","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/147537/Kybernetika_54-2018-5_6.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2018-5-0958","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2018-5-0958","pdf_url":"https://www.kybernetika.cz/content/2018/5/958/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2903110849.pdf","grobid_xml":"https://content.openalex.org/works/W2903110849.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1584444527","https://openalex.org/W1598266570","https://openalex.org/W1797402740","https://openalex.org/W1981591026","https://openalex.org/W2009511046","https://openalex.org/W2020925091","https://openalex.org/W2033484654","https://openalex.org/W2073738917","https://openalex.org/W2074682976","https://openalex.org/W2079775628","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2185143399","https://openalex.org/W2505986792","https://openalex.org/W3097417875","https://openalex.org/W3103221895","https://openalex.org/W3125657517","https://openalex.org/W4234698323","https://openalex.org/W4243348682"],"related_works":["https://openalex.org/W4242029529","https://openalex.org/W4287880334","https://openalex.org/W2361826657","https://openalex.org/W4366700029","https://openalex.org/W3090384609","https://openalex.org/W3175363083","https://openalex.org/W3194013178","https://openalex.org/W4285230481","https://openalex.org/W3144717507","https://openalex.org/W1639290356"],"abstract_inverted_index":{"In":[0],"the":[1,7,19,39,44,56,62,76,82,91,100,103,107,110,113,119,122,126,130],"development":[2],"of":[3,28,41,48,94,96,112,121,132],"efficient":[4],"predictive":[5],"models,":[6],"key":[8],"is":[9,106],"to":[10],"identify":[11],"suitable":[12],"predictors":[13],"for":[14],"a":[15,25,49],"given":[16,50],"linear":[17,51],"model.For":[18],"first":[20],"time,":[21],"this":[22],"paper":[23],"provides":[24],"comparative":[26],"study":[27],"ridge":[29,59,104],"regression,":[30],"LASSO,":[31,69],"preliminary":[32,70,85],"test":[33,71,86],"and":[34,72,87,140,147],"Stein-type":[35,73,88],"estimators":[36],"based":[37,58,136],"on":[38,129,137],"theory":[40],"rank":[42,57,64],"statistics.Under":[43],"orthonormal":[45],"design":[46],"matrix":[47],"model,":[52],"we":[53,116],"find":[54],"that":[55,118],"estimator":[60],"outperforms":[61],"usual":[63,83],"estimator,":[65],"restricted":[66,123],"R-estimator,":[67,84],"rank-based":[68],"R-estimators":[74,89,101],"uniformly.On":[75],"other":[77],"hand,":[78],"neither":[79],"LASSO":[80,97],"nor":[81],"outperform":[90],"other.The":[92],"region":[93],"domination":[95],"over":[98],"all":[99],"(except":[102],"R-estimator)":[105],"interval":[108],"around":[109],"origin":[111],"parameter":[114],"space.Finally,":[115],"observe":[117],"L2-risk":[120,131,138,142],"R-estimator":[124],"equals":[125],"lower":[127],"bound":[128],"LASSO.Our":[133],"conclusions":[134],"are":[135],"analysis":[139],"relative":[141],"efficiencies":[143],"with":[144],"related":[145],"tables":[146],"graphs.":[148]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
