{"id":"https://openalex.org/W4390054316","doi":"https://doi.org/10.15388/lmr.2004.32275","title":"On characterization of the Cauchy law by sample mean properties","display_name":"On characterization of the Cauchy law by sample mean properties","publication_year":2004,"publication_date":"2004-12-17","ids":{"openalex":"https://openalex.org/W4390054316","doi":"https://doi.org/10.15388/lmr.2004.32275"},"language":"en","primary_location":{"id":"doi:10.15388/lmr.2004.32275","doi":"https://doi.org/10.15388/lmr.2004.32275","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/lmr.2004.32275","pdf_url":null,"source":{"id":"https://openalex.org/S4210182830","display_name":"Lietuvos matematikos rinkinys","issn_l":"0132-2818","issn":["0132-2818","2335-898X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj"],"host_organization":"https://openalex.org/P4310317512","host_organization_name":"Vilnius University","host_organization_lineage":["https://openalex.org/P4310317512"],"host_organization_lineage_names":["Vilnius University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lietuvos matematikos rinkinys","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4390054316"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://dx.doi.org/10.15388/lmr.2004.32275","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112577467","display_name":"Romanas Janu\u0161kevi\u010dius","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Romanas Janu\u0161kevi\u010dius","raw_affiliation_strings":["Institute of Mathematics and Informatics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics","institution_ids":["https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112577467"],"corresponding_institution_ids":["https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":null,"first_page":"804","last_page":"807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.6157000064849854,"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/T13500","display_name":"Probability and Statistical Research","score":0.6157000064849854,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.367900013923645,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.0031999999191612005,"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/cauchy-distribution","display_name":"Cauchy distribution","score":0.9890000224113464},{"id":"https://openalex.org/keywords/characterization-of-distributions","display_name":"characterization of distributions","score":0.9490000009536743},{"id":"https://openalex.org/keywords/sample-mean","display_name":"sample mean","score":0.9070000052452087}],"concepts":[{"id":"https://openalex.org/C14301744","wikidata":"https://www.wikidata.org/wiki/Q579211","display_name":"Ramachandran plot","level":3,"score":0.8826906085014343},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6418604850769043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5978009700775146},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.571481466293335},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5551806688308716},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5284578204154968},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5184585452079773},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37242943048477173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2732483744621277},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1790018379688263},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13603860139846802},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.04486757516860962},{"id":"https://openalex.org/C47701112","wikidata":"https://www.wikidata.org/wiki/Q735188","display_name":"Protein structure","level":2,"score":0.0},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.15388/lmr.2004.32275","doi":"https://doi.org/10.15388/lmr.2004.32275","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/lmr.2004.32275","pdf_url":null,"source":{"id":"https://openalex.org/S4210182830","display_name":"Lietuvos matematikos rinkinys","issn_l":"0132-2818","issn":["0132-2818","2335-898X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj"],"host_organization":"https://openalex.org/P4310317512","host_organization_name":"Vilnius University","host_organization_lineage":["https://openalex.org/P4310317512"],"host_organization_lineage_names":["Vilnius University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lietuvos matematikos rinkinys","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8684da3e3ca742e4baa235cf33124b47","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/8684da3e3ca742e4baa235cf33124b47","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Lietuvos Matematikos Rinkinys, Vol 44, Iss spec. (2004)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:caa9b2b8818c466ea326c87322aee69b","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/caa9b2b8818c466ea326c87322aee69b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Lietuvos Matematikos Rinkinys, Vol 44, Iss spec. (2004)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15388/lmr.2004.32275","doi":"https://doi.org/10.15388/lmr.2004.32275","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/lmr.2004.32275","pdf_url":null,"source":{"id":"https://openalex.org/S4210182830","display_name":"Lietuvos matematikos rinkinys","issn_l":"0132-2818","issn":["0132-2818","2335-898X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj"],"host_organization":"https://openalex.org/P4310317512","host_organization_name":"Vilnius University","host_organization_lineage":["https://openalex.org/P4310317512"],"host_organization_lineage_names":["Vilnius University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lietuvos matematikos rinkinys","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4388848182","https://openalex.org/W4387139234","https://openalex.org/W2400991019","https://openalex.org/W3034138856","https://openalex.org/W2032499449","https://openalex.org/W2170486263","https://openalex.org/W1988348528","https://openalex.org/W1488242898","https://openalex.org/W2071607111","https://openalex.org/W7008613021"],"abstract_inverted_index":{"The":[0,29],"characterization":[1],"of":[2,10,32],"Cauchy":[3],"distribution":[4,9],"by":[5,19],"assuming":[6],"the":[7],"identical":[8],"a":[11],"monomial":[12],"and":[13,26,34],"sample":[14],"mean":[15],"has":[16],"been":[17],"considered":[18],"B.":[20],"Ramachandran,":[21],"C.R.":[22],"Rao,":[23],"Y.H.":[24],"Wang":[25],"other":[27],"authors.":[28],"new":[30],"proofs":[31],"Ramachandran-Rao":[33],"Wang's":[35],"theorem":[36],"are":[37],"proposed":[38],"in":[39],"our":[40],"paper.":[41]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2023-12-22T00:00:00"}
