{"id":"https://openalex.org/W2939901248","doi":"https://doi.org/10.1007/s10479-019-03236-9","title":"A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model","display_name":"A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model","publication_year":2019,"publication_date":"2019-04-12","ids":{"openalex":"https://openalex.org/W2939901248","doi":"https://doi.org/10.1007/s10479-019-03236-9","mag":"2939901248"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-019-03236-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03236-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"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/A5026628307","display_name":"Jianxiong Gao","orcid":"https://orcid.org/0000-0002-2975-0150"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianxiong Gao","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082928572","display_name":"Zongwen An","orcid":"https://orcid.org/0000-0002-8841-5301"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zongwen An","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China"],"raw_orcid":"https://orcid.org/0000-0002-8841-5301","affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060557143","display_name":"Xuezong Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuezong Bai","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China","institution_ids":["https://openalex.org/I22716506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082928572"],"corresponding_institution_ids":["https://openalex.org/I22716506"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3531,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.53618614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"311","issue":"1","first_page":"81","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.7919554710388184},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.6711069345474243},{"id":"https://openalex.org/keywords/histogram","display_name":"Histogram","score":0.6603054404258728},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5735296010971069},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4815433621406555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4589139223098755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45411160588264465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4465941786766052},{"id":"https://openalex.org/keywords/probability-and-statistics","display_name":"Probability and statistics","score":0.43116170167922974},{"id":"https://openalex.org/keywords/uniform-distribution","display_name":"Uniform distribution (continuous)","score":0.42843329906463623},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36397624015808105},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2652069926261902},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20081254839897156},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.08172646164894104}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7919554710388184},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.6711069345474243},{"id":"https://openalex.org/C53533937","wikidata":"https://www.wikidata.org/wiki/Q185020","display_name":"Histogram","level":3,"score":0.6603054404258728},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5735296010971069},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4815433621406555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4589139223098755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45411160588264465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4465941786766052},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.43116170167922974},{"id":"https://openalex.org/C108882938","wikidata":"https://www.wikidata.org/wiki/Q274506","display_name":"Uniform distribution (continuous)","level":2,"score":0.42843329906463623},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36397624015808105},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2652069926261902},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20081254839897156},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.08172646164894104},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-019-03236-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03236-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:311:y:2022:i:1:d:10.1007_s10479-019-03236-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-019-03236-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G4700653374","display_name":null,"funder_award_id":"51665029","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W166751945","https://openalex.org/W1967460951","https://openalex.org/W1982487450","https://openalex.org/W1984114198","https://openalex.org/W2025013771","https://openalex.org/W2033616687","https://openalex.org/W2040801642","https://openalex.org/W2044258347","https://openalex.org/W2051774234","https://openalex.org/W2061877908","https://openalex.org/W2084393314","https://openalex.org/W2091631559","https://openalex.org/W2145989463","https://openalex.org/W2149400932","https://openalex.org/W2199800958","https://openalex.org/W2280819451","https://openalex.org/W2323096882","https://openalex.org/W2338128377","https://openalex.org/W2521524425","https://openalex.org/W2525082097","https://openalex.org/W2593158761","https://openalex.org/W2618731066","https://openalex.org/W2734444759","https://openalex.org/W2793058854","https://openalex.org/W2793673910","https://openalex.org/W2796890126","https://openalex.org/W2801726099","https://openalex.org/W2803202359","https://openalex.org/W2885521332","https://openalex.org/W3100608448"],"related_works":["https://openalex.org/W2120083078","https://openalex.org/W2039936636","https://openalex.org/W2110218640","https://openalex.org/W2189014879","https://openalex.org/W2470883241","https://openalex.org/W2057855001","https://openalex.org/W3107478762","https://openalex.org/W1567154219","https://openalex.org/W4384912914","https://openalex.org/W3145728538"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
