{"id":"https://openalex.org/W4313315937","doi":"https://doi.org/10.1109/commnet56067.2022.9993848","title":"Cubic Spline-Based Approximation for the Sum of i.i.d. Lognormal Distributions","display_name":"Cubic Spline-Based Approximation for the Sum of i.i.d. Lognormal Distributions","publication_year":2022,"publication_date":"2022-12-12","ids":{"openalex":"https://openalex.org/W4313315937","doi":"https://doi.org/10.1109/commnet56067.2022.9993848"},"language":"en","primary_location":{"id":"doi:10.1109/commnet56067.2022.9993848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/commnet56067.2022.9993848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 5th International Conference on Advanced Communication Technologies and Networking (CommNet)","raw_type":"proceedings-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/A5055148453","display_name":"El-Houcine El Baqqaly","orcid":"https://orcid.org/0009-0000-7001-8108"},"institutions":[{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"El-Houcine El Baqqaly","raw_affiliation_strings":["Mohammed I University in Oujda,Multidisciplinary Faculty of Nador,Morocco","Multidisciplinary Faculty of Nador, Mohammed I University in Oujda, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mohammed I University in Oujda,Multidisciplinary Faculty of Nador,Morocco","institution_ids":["https://openalex.org/I4210108110"]},{"raw_affiliation_string":"Multidisciplinary Faculty of Nador, Mohammed I University in Oujda, Morocco","institution_ids":["https://openalex.org/I4210108110"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075380587","display_name":"Faissal El Bouanani","orcid":"https://orcid.org/0000-0001-8141-6793"},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Faissal El Bouanani","raw_affiliation_strings":["ENSIAS, Mohammed V University in Rabat,Morocco","ENSIAS, Mohammed V University in Rabat, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSIAS, Mohammed V University in Rabat,Morocco","institution_ids":["https://openalex.org/I126477371"]},{"raw_affiliation_string":"ENSIAS, Mohammed V University in Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037552656","display_name":"Zakaria El Allali","orcid":"https://orcid.org/0000-0002-3146-6423"},"institutions":[{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Zakaria El Allali","raw_affiliation_strings":["Mohammed I University in Oujda,Multidisciplinary Faculty of Nador,Morocco","Multidisciplinary Faculty of Nador, Mohammed I University in Oujda, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mohammed I University in Oujda,Multidisciplinary Faculty of Nador,Morocco","institution_ids":["https://openalex.org/I4210108110"]},{"raw_affiliation_string":"Multidisciplinary Faculty of Nador, Mohammed I University in Oujda, Morocco","institution_ids":["https://openalex.org/I4210108110"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23324723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.995199978351593,"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"}},"topics":[{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.989300012588501,"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/log-normal-distribution","display_name":"Log-normal distribution","score":0.7254513502120972},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.6727185249328613},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5869011878967285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5757673978805542},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5409721732139587},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.5231651067733765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49987244606018066},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.49193453788757324},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.4753815233707428},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"Moment-generating function","score":0.417738139629364},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3478853702545166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2586480677127838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25855809450149536},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21275216341018677},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15713468194007874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07110261917114258}],"concepts":[{"id":"https://openalex.org/C151620405","wikidata":"https://www.wikidata.org/wiki/Q826116","display_name":"Log-normal distribution","level":2,"score":0.7254513502120972},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.6727185249328613},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5869011878967285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5757673978805542},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5409721732139587},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.5231651067733765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49987244606018066},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.49193453788757324},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.4753815233707428},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.417738139629364},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3478853702545166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2586480677127838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25855809450149536},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21275216341018677},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15713468194007874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07110261917114258},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/commnet56067.2022.9993848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/commnet56067.2022.9993848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 5th International Conference on Advanced Communication Technologies and Networking (CommNet)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1607828067","https://openalex.org/W1973034347","https://openalex.org/W2059126714","https://openalex.org/W2070503330","https://openalex.org/W2103442809","https://openalex.org/W2116850200","https://openalex.org/W2129914223","https://openalex.org/W2138702332","https://openalex.org/W2141236461","https://openalex.org/W2142437411","https://openalex.org/W2147810214","https://openalex.org/W2158554227","https://openalex.org/W2170922761","https://openalex.org/W4230959423","https://openalex.org/W4242292805"],"related_works":["https://openalex.org/W2140857733","https://openalex.org/W2160570982","https://openalex.org/W1489065153","https://openalex.org/W4288359053","https://openalex.org/W2328588095","https://openalex.org/W2946359133","https://openalex.org/W2387342419","https://openalex.org/W3116776266","https://openalex.org/W2079270674","https://openalex.org/W2953373858"],"abstract_inverted_index":{"A":[0],"novel":[1],"accurate":[2],"approximation":[3,49],"of":[4,8,11,38],"the":[5,9,31,36],"moment-generating":[6],"function":[7],"sum":[10],"independent":[12],"and":[13],"identically":[14],"distributed":[15],"lognormal":[16],"random":[17],"variables":[18],"relying":[19],"on":[20],"Cubic":[21],"splines":[22],"is":[23,42],"proposed.":[24],"We":[25],"demonstrate":[26],"that":[27],"our":[28],"expressions":[29],"outperform":[30],"previous":[32],"well-known":[33],"approximations.":[34],"Besides,":[35],"evaluation":[37],"such":[39],"an":[40],"expression":[41],"relatively":[43],"acceptable":[44],"compared":[45],"with":[46],"its":[47],"counterpart":[48]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}