{"id":"https://openalex.org/W1963875070","doi":"https://doi.org/10.1007/s10998-014-0077-5","title":"Covariance and comparison inequalities under quadrant dependence","display_name":"Covariance and comparison inequalities under quadrant dependence","publication_year":2015,"publication_date":"2015-01-05","ids":{"openalex":"https://openalex.org/W1963875070","doi":"https://doi.org/10.1007/s10998-014-0077-5","mag":"1963875070"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-014-0077-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-014-0077-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-014-0077-5.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10998-014-0077-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091181628","display_name":"Przemys\u0142aw Matu\u0142a","orcid":"https://orcid.org/0000-0003-2609-7085"},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I50863359","display_name":"Marie Curie","ror":"https://ror.org/02aqv1x10","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I50863359"]}],"countries":["GB","PL"],"is_corresponding":false,"raw_author_name":"Przemys\u0142aw Matu\u0142a","raw_affiliation_strings":["Institute of Mathematics, Marie Curie-Sk\u0142odowska University, pl. M.C.-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","Marie Curie-Sk\u0142odowska University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Marie Curie-Sk\u0142odowska University, pl. M.C.-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","institution_ids":["https://openalex.org/I174183983","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Marie Curie-Sk\u0142odowska University","institution_ids":["https://openalex.org/I174183983","https://openalex.org/I50863359"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059184203","display_name":"Maciej Ziemba","orcid":"https://orcid.org/0000-0001-5487-1635"},"institutions":[{"id":"https://openalex.org/I8264552","display_name":"Lublin University of Technology","ror":"https://ror.org/024zjzd49","country_code":"PL","type":"education","lineage":["https://openalex.org/I8264552"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Maciej Ziemba","raw_affiliation_strings":["Department of Mathematics, Lublin University of Technology, ul. Nadbystrzycka 38d, 20-618, Lublin, Poland","Lublin University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lublin University of Technology, ul. Nadbystrzycka 38d, 20-618, Lublin, Poland","institution_ids":["https://openalex.org/I8264552"]},{"raw_affiliation_string":"Lublin University of Technology","institution_ids":["https://openalex.org/I8264552"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07408524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"1","first_page":"35","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9107623100280762},{"id":"https://openalex.org/keywords/quadrant","display_name":"Quadrant (abdomen)","score":0.8728851675987244},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.7950920462608337},{"id":"https://openalex.org/keywords/covariance-mapping","display_name":"Covariance mapping","score":0.5041886568069458},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4873555600643158},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4594593346118927},{"id":"https://openalex.org/keywords/law-of-total-covariance","display_name":"Law of total covariance","score":0.43556341528892517},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36175328493118286},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.29866552352905273},{"id":"https://openalex.org/keywords/covariance-intersection","display_name":"Covariance intersection","score":0.15455061197280884}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9107623100280762},{"id":"https://openalex.org/C2780639617","wikidata":"https://www.wikidata.org/wiki/Q6516972","display_name":"Quadrant (abdomen)","level":2,"score":0.8728851675987244},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7950920462608337},{"id":"https://openalex.org/C129759605","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance mapping","level":5,"score":0.5041886568069458},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4873555600643158},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4594593346118927},{"id":"https://openalex.org/C126372606","wikidata":"https://www.wikidata.org/wiki/Q6503511","display_name":"Law of total covariance","level":5,"score":0.43556341528892517},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36175328493118286},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.29866552352905273},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.15455061197280884},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-014-0077-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-014-0077-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-014-0077-5.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10998-014-0077-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-014-0077-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-014-0077-5.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1963875070.pdf","grobid_xml":"https://content.openalex.org/works/W1963875070.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W210658735","https://openalex.org/W571576255","https://openalex.org/W647651731","https://openalex.org/W650078988","https://openalex.org/W1509845037","https://openalex.org/W1966695467","https://openalex.org/W2013002076","https://openalex.org/W2034323910","https://openalex.org/W2061060422","https://openalex.org/W2065016398","https://openalex.org/W2096992152","https://openalex.org/W2119436275","https://openalex.org/W2508109141","https://openalex.org/W4312934571","https://openalex.org/W4385629024"],"related_works":["https://openalex.org/W2386803684","https://openalex.org/W25437216","https://openalex.org/W2032920957","https://openalex.org/W2050026105","https://openalex.org/W4281554704","https://openalex.org/W2048777342","https://openalex.org/W2946378018","https://openalex.org/W1963875070","https://openalex.org/W4287116854","https://openalex.org/W3175063335"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,8,24,51,54,63],"difference":[3,55],"between":[4],"a":[5],"distribution":[6],"of":[7,62,65],"random":[9,42],"vectors":[10],"$$[X,Y]$$":[11],"and":[12,17,21,29,45,67],"$$[X',Y']$$":[13],",":[14,47],"where":[15],"$$X'$$":[16,22],"$$Y'$$":[18,30],"are":[19,58],"independent":[20],"has":[23],"same":[25],"law":[26],"as":[27,31],"$$X$$":[28,44,66],"$$Y$$":[32,46,68],".":[33,69],"Particular":[34],"interest":[35],"is":[36],"focused":[37],"on":[38],"positively":[39],"quadrant":[40],"dependent":[41],"variables":[43],"in":[48,56,60],"this":[49],"case":[50],"bounds":[52],"for":[53],"question":[57],"expressed":[59],"terms":[61],"covariance":[64]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
