{"id":"https://openalex.org/W2093209954","doi":"https://doi.org/10.1016/s0096-3003(02)00490-3","title":"Geometrical properties of Pareto distribution","display_name":"Geometrical properties of Pareto distribution","publication_year":2003,"publication_date":"2003-09-03","ids":{"openalex":"https://openalex.org/W2093209954","doi":"https://doi.org/10.1016/s0096-3003(02)00490-3","mag":"2093209954"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(02)00490-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00490-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5014215561","display_name":"Nassar H. Abdel-All","orcid":null},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"N.H. Abdel-All","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt#TAB#","institution_ids":["https://openalex.org/I91041137"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065991257","display_name":"M.A.W. Mahmoud","orcid":"https://orcid.org/0000-0001-5156-7128"},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M.A.W. Mahmoud","raw_affiliation_strings":["Department of Mathematics Faculty of Science Al-Azhar University Nasr City Cairo 11884 Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Science Al-Azhar University Nasr City Cairo 11884 Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083927774","display_name":"H.N. Abd-Ellah","orcid":"https://orcid.org/0000-0001-6494-5693"},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"H.N. Abd-Ellah","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt#TAB#","institution_ids":["https://openalex.org/I91041137"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014215561"],"corresponding_institution_ids":["https://openalex.org/I91041137"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.20576943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"145","issue":"2-3","first_page":"321","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9799000024795532,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9768000245094299,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7966810464859009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7614728212356567},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.6119688749313354},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5334650874137878},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5147778987884521},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.46827080845832825},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46351492404937744},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44924160838127136},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4368418753147125},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.412003755569458},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40955448150634766}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7966810464859009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7614728212356567},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.6119688749313354},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5334650874137878},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5147778987884521},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.46827080845832825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46351492404937744},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44924160838127136},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4368418753147125},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.412003755569458},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40955448150634766},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(02)00490-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00490-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1479979375","https://openalex.org/W1520168181","https://openalex.org/W1579344322","https://openalex.org/W1966088223","https://openalex.org/W2006893041","https://openalex.org/W2022396285","https://openalex.org/W2025010586","https://openalex.org/W2025994725","https://openalex.org/W2029949976","https://openalex.org/W2038798255","https://openalex.org/W2066881202","https://openalex.org/W2067184061","https://openalex.org/W2068786052","https://openalex.org/W2076209196","https://openalex.org/W2079649061","https://openalex.org/W2089465567","https://openalex.org/W2102567944","https://openalex.org/W2107589230","https://openalex.org/W2277541416","https://openalex.org/W2296316594","https://openalex.org/W2315047081","https://openalex.org/W2796183801","https://openalex.org/W2978657554","https://openalex.org/W3125246470","https://openalex.org/W3140662957","https://openalex.org/W4205622489","https://openalex.org/W4210636998","https://openalex.org/W4251113364","https://openalex.org/W4255245985","https://openalex.org/W4312996603","https://openalex.org/W6628836592","https://openalex.org/W6667198050","https://openalex.org/W6669812956","https://openalex.org/W6695205178","https://openalex.org/W6768276495","https://openalex.org/W6818423592","https://openalex.org/W6848966069"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W129985895","https://openalex.org/W3098954043","https://openalex.org/W2902585561","https://openalex.org/W2125885457","https://openalex.org/W12471309","https://openalex.org/W3035860309","https://openalex.org/W2024120081","https://openalex.org/W3102561537","https://openalex.org/W2003300176"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}