{"id":"https://openalex.org/W4386987322","doi":"https://doi.org/10.1007/s00500-023-09202-9","title":"Statistical inference on quantiles of two independent populations under uncertainty","display_name":"Statistical inference on quantiles of two independent populations under uncertainty","publication_year":2023,"publication_date":"2023-09-23","ids":{"openalex":"https://openalex.org/W4386987322","doi":"https://doi.org/10.1007/s00500-023-09202-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-023-09202-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00500-023-09202-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-09202-9.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/s00500-023-09202-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034485218","display_name":"Gholamreza Hesamian","orcid":"https://orcid.org/0000-0002-3175-7909"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Gholamreza Hesamian","raw_affiliation_strings":["Department of Statistics, Payame Noor University, Tehran, 19395-3697, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Payame Noor University, Tehran, 19395-3697, Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055024838","display_name":"Nataliya Chukhrova","orcid":"https://orcid.org/0000-0002-4105-7033"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I2801160284","display_name":"HafenCity University Hamburg","ror":"https://ror.org/01fzsd381","country_code":"DE","type":"education","lineage":["https://openalex.org/I2801160284"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nataliya Chukhrova","raw_affiliation_strings":["HafenCity University of Hamburg, 20457, Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HafenCity University of Hamburg, 20457, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I2801160284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062846555","display_name":"Arne Johannssen","orcid":"https://orcid.org/0000-0002-4265-3996"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I256606533","display_name":"Hamburg School of Business Administration","ror":"https://ror.org/0560e8961","country_code":"DE","type":"education","lineage":["https://openalex.org/I256606533"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Arne Johannssen","raw_affiliation_strings":["Faculty of Business Administration, University of Hamburg, 20146, Hamburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4265-3996","affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, University of Hamburg, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I256606533"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062846555"],"corresponding_institution_ids":["https://openalex.org/I159176309","https://openalex.org/I256606533"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.2563,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57455133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"27","issue":"23","first_page":"17573","last_page":"17583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9979000091552734,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9853000044822693,"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/quantile","display_name":"Quantile","score":0.7743643522262573},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5719120502471924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5603896379470825},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5589209794998169},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.5390251874923706},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5213814377784729},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.4942517578601837},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.459332138299942},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.425167441368103},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4222005605697632},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3753555715084076},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3616720736026764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3612206280231476}],"concepts":[{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.7743643522262573},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5719120502471924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5603896379470825},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5589209794998169},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.5390251874923706},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5213814377784729},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4942517578601837},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.459332138299942},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.425167441368103},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4222005605697632},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3753555715084076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3616720736026764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3612206280231476},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-023-09202-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00500-023-09202-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-09202-9.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00500-023-09202-9","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00500-023-09202-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-09202-9.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323381","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386987322.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W27133021","https://openalex.org/W279396231","https://openalex.org/W632115384","https://openalex.org/W1535671375","https://openalex.org/W1969909544","https://openalex.org/W1975493346","https://openalex.org/W1976958169","https://openalex.org/W1980658119","https://openalex.org/W1987197156","https://openalex.org/W1989136600","https://openalex.org/W1991344029","https://openalex.org/W1993153532","https://openalex.org/W1996383770","https://openalex.org/W1999602938","https://openalex.org/W2015144267","https://openalex.org/W2030420051","https://openalex.org/W2041861866","https://openalex.org/W2045902134","https://openalex.org/W2048222388","https://openalex.org/W2049808599","https://openalex.org/W2050707541","https://openalex.org/W2052261629","https://openalex.org/W2061905951","https://openalex.org/W2063228254","https://openalex.org/W2072631090","https://openalex.org/W2073325991","https://openalex.org/W2106355616","https://openalex.org/W2340455554","https://openalex.org/W2493535170","https://openalex.org/W2521032906","https://openalex.org/W2621212896","https://openalex.org/W2803161217","https://openalex.org/W2885251636","https://openalex.org/W2888718583","https://openalex.org/W2897530540","https://openalex.org/W2903122433","https://openalex.org/W2919546009","https://openalex.org/W2924376104","https://openalex.org/W2951073201","https://openalex.org/W2952705259","https://openalex.org/W2968458585","https://openalex.org/W2980308049","https://openalex.org/W3094572468","https://openalex.org/W3136302904","https://openalex.org/W3145418092","https://openalex.org/W3167466904","https://openalex.org/W3192686267","https://openalex.org/W4200321927","https://openalex.org/W4255693510","https://openalex.org/W4301088184","https://openalex.org/W4323923508"],"related_works":["https://openalex.org/W137830373","https://openalex.org/W2903799831","https://openalex.org/W2348480869","https://openalex.org/W3000984192","https://openalex.org/W2485444738","https://openalex.org/W2979681497","https://openalex.org/W2585981346","https://openalex.org/W2049531272","https://openalex.org/W3003558595","https://openalex.org/W1969750563"],"abstract_inverted_index":{"Abstract":[0],"Statistical":[1],"inference":[2],"is":[3,36,176],"the":[4,22,29,74,92,120,126,145,157,170],"process":[5],"of":[6,24,56,62,78,108,128,169],"drawing":[7],"conclusions":[8],"about":[9],"underlying":[10,30,158],"population(s)":[11],"using":[12],"sample":[13],"data":[14],"to":[15,143,154],"either":[16],"confirm":[17],"or":[18,165],"falsify":[19],"hypotheses.":[20],"However,":[21],"complexity":[23],"real-life":[25],"problems":[26],"often":[27,37],"makes":[28],"statistical":[31],"models":[32],"inadequate,":[33],"as":[34],"information":[35],"imprecise":[38],"in":[39],"many":[40],"respects.":[41],"To":[42],"address":[43],"this":[44,66,88],"common":[45],"problem,":[46],"some":[47],"papers":[48],"have":[49],"been":[50],"published":[51],"on":[52,83,100,119,174],"modifications":[53],"and":[54,96],"extensions":[55],"test":[57,72,117,147,173],"concepts":[58],"by":[59],"employing":[60],"tools":[61],"fuzzy":[63,84,93,109,116,121,129,146,159],"statistics.":[64],"In":[65],"paper,":[67],"we":[68,90],"present":[69],"a":[70,115,139,150],"non-parametric":[71],"for":[73,125],"difference":[75,127],"between":[76],"quantiles":[77,175],"two":[79],"independent":[80,134],"populations":[81],"based":[82,99,118],"random":[85,110],"variables.":[86,111],"For":[87],"purpose,":[89],"consider":[91],"quantile":[94],"function":[95,124],"its":[97],"estimation":[98],"$$\\alpha":[101],"$$":[102],"<mml:math":[103],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[104],"<mml:mi>\u03b1</mml:mi>":[105],"</mml:math>":[106],"-values":[107],"We":[112,136],"then":[113],"provide":[114],"empirical":[122],"distribution":[123],"order":[130],"statistics":[131,148],"from":[132],"these":[133],"populations.":[135],"also":[137],"suggest":[138],"specific":[140,151],"degree-based":[141],"criterion":[142],"compare":[144],"at":[149],"significance":[152],"level":[153],"decide":[155],"whether":[156],"null":[160],"hypothesis":[161],"can":[162],"be":[163],"rejected":[164],"not.":[166],"The":[167],"effectiveness":[168],"proposed":[171],"two-sample":[172],"investigated":[177],"via":[178],"numerical":[179],"examples.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
