{"id":"https://openalex.org/W2908414556","doi":"https://doi.org/10.1080/03610918.2018.1530785","title":"Computational methods applied to a skewed generalized normal family","display_name":"Computational methods applied to a skewed generalized normal family","publication_year":2018,"publication_date":"2018-12-31","ids":{"openalex":"https://openalex.org/W2908414556","doi":"https://doi.org/10.1080/03610918.2018.1530785","mag":"2908414556"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2018.1530785","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1530785","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.up.ac.za/bitstream/2263/68149/1/Bekker_Computational_2020.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024962335","display_name":"Andri\u00ebtte Bekker","orcid":"https://orcid.org/0000-0003-4793-5674"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"A. Bekker","raw_affiliation_strings":["Department of Statistics, University of Pretoria, Pretoria, South Africa;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Pretoria, Pretoria, South Africa;","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063817631","display_name":"Johan Ferreira","orcid":"https://orcid.org/0000-0002-5945-6550"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"J. T. Ferreira","raw_affiliation_strings":["Department of Statistics, University of Pretoria, Pretoria, South Africa;"],"raw_orcid":"https://orcid.org/0000-0002-5945-6550","affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Pretoria, Pretoria, South Africa;","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066559252","display_name":"\u200eM\u200eohammad Arashi","orcid":"https://orcid.org/0000-0002-5881-9241"},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Arashi","raw_affiliation_strings":["Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013384033","display_name":"B. W. Rowland","orcid":null},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"B. W. Rowland","raw_affiliation_strings":["Department of Statistics, University of Pretoria, Pretoria, South Africa;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Pretoria, Pretoria, South Africa;","institution_ids":["https://openalex.org/I69552723"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063817631"],"corresponding_institution_ids":["https://openalex.org/I69552723"],"apc_list":null,"apc_paid":null,"fwci":0.2108,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57474174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"11","first_page":"2930","last_page":"2943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9886000156402588,"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/T11720","display_name":"Probability and Risk Models","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/skew-normal-distribution","display_name":"Skew normal distribution","score":0.5484122633934021},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"Normal distribution","score":0.5422218441963196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5396243929862976},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.5373621582984924},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5179125666618347},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5104695558547974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5057036876678467},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49175241589546204},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4817388355731964},{"id":"https://openalex.org/keywords/generalized-normal-distribution","display_name":"Generalized normal distribution","score":0.4810638427734375},{"id":"https://openalex.org/keywords/binomial-distribution","display_name":"Binomial distribution","score":0.448175311088562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43826931715011597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43351253867149353},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.41861778497695923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33847376704216003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19948625564575195},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1680852472782135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12292170524597168}],"concepts":[{"id":"https://openalex.org/C43694697","wikidata":"https://www.wikidata.org/wiki/Q3258551","display_name":"Skew normal distribution","level":3,"score":0.5484122633934021},{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.5422218441963196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5396243929862976},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.5373621582984924},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5179125666618347},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5104695558547974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5057036876678467},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49175241589546204},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4817388355731964},{"id":"https://openalex.org/C171383496","wikidata":"https://www.wikidata.org/wiki/Q2497477","display_name":"Generalized normal distribution","level":3,"score":0.4810638427734375},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.448175311088562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43826931715011597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43351253867149353},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.41861778497695923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33847376704216003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19948625564575195},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1680852472782135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12292170524597168},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/03610918.2018.1530785","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1530785","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},{"id":"pmh:oai:repository.up.ac.za:2263/68149","is_oa":true,"landing_page_url":"http://hdl.handle.net/2263/68149","pdf_url":"https://repository.up.ac.za/bitstream/2263/68149/1/Bekker_Computational_2020.pdf","source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Postprint Article"}],"best_oa_location":{"id":"pmh:oai:repository.up.ac.za:2263/68149","is_oa":true,"landing_page_url":"http://hdl.handle.net/2263/68149","pdf_url":"https://repository.up.ac.za/bitstream/2263/68149/1/Bekker_Computational_2020.pdf","source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Postprint Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","score":0.4300000071525574,"display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G4897348666","display_name":null,"funder_award_id":"91497","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G5046179696","display_name":null,"funder_award_id":"102640","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G8056126074","display_name":null,"funder_award_id":"109214","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2908414556.pdf","grobid_xml":"https://content.openalex.org/works/W2908414556.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W94194614","https://openalex.org/W621293842","https://openalex.org/W1966650015","https://openalex.org/W1984084184","https://openalex.org/W2006249395","https://openalex.org/W2006564697","https://openalex.org/W2039257060","https://openalex.org/W2041227709","https://openalex.org/W2060153592","https://openalex.org/W2060308631","https://openalex.org/W2063541640","https://openalex.org/W2090768046","https://openalex.org/W2099279775","https://openalex.org/W2468146266","https://openalex.org/W2521126215","https://openalex.org/W2796770216","https://openalex.org/W4213302443","https://openalex.org/W4256170606"],"related_works":["https://openalex.org/W2521126215","https://openalex.org/W2183005240","https://openalex.org/W1741818375","https://openalex.org/W1981359679","https://openalex.org/W2419056419","https://openalex.org/W2460338119","https://openalex.org/W2912733426","https://openalex.org/W2508056651","https://openalex.org/W2952512382","https://openalex.org/W2081025540"],"abstract_inverted_index":{"Some":[0],"characteristics":[1],"of":[2,58],"the":[3,72],"normal":[4,20,31],"distribution":[5,22,60,87],"may":[6],"not":[7],"be":[8],"ideal":[9],"to":[10,28,41,49,71,95],"model":[11],"in":[12,76,90],"many":[13],"applications.":[14],"We":[15],"develop":[16],"a":[17,25,29,44,77,91],"skew":[18],"generalized":[19,30],"(SGN)":[21],"by":[23],"applying":[24],"skewing":[26,67,82],"method":[27,68],"distribution,":[32],"and":[33,43,63,94],"study":[34],"some":[35],"meaningful":[36],"statistical":[37],"characteristics.":[38],"Computational":[39],"methods":[40],"approximate,":[42],"well-constructed":[45],"efficient":[46],"computational":[47],"approach":[48],"estimate":[50],"these":[51],"characteristics,":[52],"are":[53],"presented.":[54],"A":[55],"stochastic":[56],"representation":[57],"this":[59],"is":[61,69,88],"derived":[62],"numerically":[64],"implemented.":[65],"The":[66,85],"extended":[70],"elliptical":[73],"class":[74],"resulting":[75],"more":[78],"general":[79],"framework":[80],"for":[81],"symmetric":[83],"distributions.":[84,99],"proposed":[86],"applied":[89],"fitting":[92],"context":[93],"approximate":[96],"particular":[97],"binomial":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}