{"id":"https://openalex.org/W2136661846","doi":"https://doi.org/10.1109/mfi.2008.4648104","title":"Localized Cumulative Distributions and a multivariate generalization of the Cramér-von Mises distance","display_name":"Localized Cumulative Distributions and a multivariate generalization of the Cramér-von Mises distance","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2136661846","doi":"https://doi.org/10.1109/mfi.2008.4648104","mag":"2136661846"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/mfi.2008.4648104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055331421","display_name":"Uwe D. Hanebeck","orcid":"https://orcid.org/0000-0001-9870-2331"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"funder","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe D. Hanebeck","raw_affiliation_strings":["Inst. of Comput. Sci. & Eng., Univ. Karlsruhe (TH), Karlsruhe"],"affiliations":[{"raw_affiliation_string":"Inst. of Comput. Sci. & Eng., Univ. Karlsruhe (TH), Karlsruhe","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041005136","display_name":"Vesa Klumpp","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"funder","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vesa Klumpp","raw_affiliation_strings":["Inst. of Comput. Sci. & Eng., Univ. Karlsruhe (TH), Karlsruhe"],"affiliations":[{"raw_affiliation_string":"Inst. of Comput. Sci. & Eng., Univ. Karlsruhe (TH), Karlsruhe","institution_ids":["https://openalex.org/I102335020"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.934,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":61,"citation_normalized_percentile":{"value":0.975155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"33","last_page":"39"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9974,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.9921,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.74571204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.66518694},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.65624684},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.62835526},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.62671375},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5759344},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.56255907},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46952787},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.43371046},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42515627},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.42446092},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.34824133},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3255335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31204563},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/mfi.2008.4648104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W1486791786","https://openalex.org/W1603814531","https://openalex.org/W1887758993","https://openalex.org/W1964678795","https://openalex.org/W1991855870","https://openalex.org/W1999024885","https://openalex.org/W2008149271","https://openalex.org/W2016770622","https://openalex.org/W202646758","https://openalex.org/W2042280087","https://openalex.org/W2043419861","https://openalex.org/W2073768640","https://openalex.org/W2078121200","https://openalex.org/W2098269688","https://openalex.org/W2099502403","https://openalex.org/W2125769353","https://openalex.org/W2126391818","https://openalex.org/W2135906601","https://openalex.org/W2150438822","https://openalex.org/W2150744922","https://openalex.org/W2151084831","https://openalex.org/W2153705932","https://openalex.org/W2222124350","https://openalex.org/W4240195191","https://openalex.org/W4300580367"],"related_works":["https://openalex.org/W4213267843","https://openalex.org/W3129080429","https://openalex.org/W3102213005","https://openalex.org/W2898949414","https://openalex.org/W2791034190","https://openalex.org/W2753355162","https://openalex.org/W2392327107","https://openalex.org/W2168519368","https://openalex.org/W2036854414","https://openalex.org/W1980528650"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,26,41,69,86,111,126],"concerned":[3,112,127],"with":[4,11,113,128],"distances":[5,101],"for":[6,96,104],"comparing":[7],"multivariate":[8,48,98],"random":[9,24,49,79,151],"vectors":[10,25,80],"a":[12,34,42,66,116,121,134,139,148,154],"special":[13],"focus":[14],"on":[15,74],"the":[16,23,51,62,75,78,83,87,97],"case":[17],"that":[18,93],"at":[19],"least":[20],"one":[21],"of":[22,27,45,47,65,77,89,138,147],"discrete":[28,35,155],"type,":[29],"i.e.,":[30,132,145],"assumes":[31],"values":[32],"from":[33,120],"set":[36],"only.":[37],"The":[38],"first":[39],"contribution":[40,85],"new":[43],"type":[44],"characterization":[46],"quantities,":[50],"so":[52],"called":[53],"localized":[54],"cumulative":[55,67],"distribution":[56],"(LCD)":[57],"that,":[58],"in":[59],"contrast":[60],"to":[61],"conventional":[63],"definition":[64,88],"distribution,":[68],"unique":[70],"and":[71,107,142],"symmetric.":[72],"Based":[73],"LCDs":[76],"under":[81],"consideration,":[82],"second":[84],"generalized":[90],"distance":[91],"measures":[92],"are":[94,102],"suitable":[95,135],"case.":[99],"These":[100],"used":[103],"both":[105,129],"analysis":[106],"synthesis":[108],"purposes.":[109],"Analysis":[110],"assessing":[114],"whether":[115],"given":[117,122,140,149],"sample":[118],"stems":[119],"continuous":[123,136,150],"distribution.":[124],"Synthesis":[125],"density":[130,143],"estimation,":[131],"calculating":[133],"approximation":[137,146],"sample,":[141],"discretization,":[144],"vector":[152],"by":[153],"one.":[156]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2136661846","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-02-01T14:39:44.038267","created_date":"2016-06-24"}