{"id":"https://openalex.org/W4386886934","doi":"https://doi.org/10.1063/5.0170964","title":"Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications","display_name":"Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4386886934","doi":"https://doi.org/10.1063/5.0170964"},"language":"en","primary_location":{"id":"doi:10.1063/5.0170964","doi":"https://doi.org/10.1063/5.0170964","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0170964","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1063/5.0170964","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087146100","display_name":"Ahmed M. Gemeay","orcid":"https://orcid.org/0000-0001-6767-4016","observed_orcids":["https://orcid.org/0000-0001-6767-4016"]},"institutions":[{"id":"https://openalex.org/I21376657","display_name":"Tanta University","ror":"https://ror.org/016jp5b92","country_code":"EG","type":"education","lineage":["https://openalex.org/I21376657"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ahmed M. Gemeay","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Tanta University 1 , Tanta 31527, Egypt"],"raw_orcid":"https://orcid.org/0000-0001-6767-4016","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Tanta University 1 , Tanta 31527, Egypt","institution_ids":["https://openalex.org/I21376657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037242106","display_name":"Kadir Karakaya","orcid":"https://orcid.org/0000-0002-0781-3587","observed_orcids":["https://orcid.org/0000-0002-0781-3587"]},"institutions":[{"id":"https://openalex.org/I137996928","display_name":"Sel\u00e7uk University","ror":"https://ror.org/045hgzm75","country_code":"TR","type":"education","lineage":["https://openalex.org/I137996928"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Kadir Karakaya","raw_affiliation_strings":["Department of Statistics, Faculty of Sciences, Sel\u00e7uk University 2 , Konya, T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0000-0002-0781-3587","affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Sciences, Sel\u00e7uk University 2 , Konya, T\u00fcrkiye","institution_ids":["https://openalex.org/I137996928"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069121434","display_name":"Mahmoud Ebrahim Bakr","orcid":"https://orcid.org/0000-0003-3493-033X","observed_orcids":["https://orcid.org/0000-0003-3493-033X"]},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. E. Bakr","raw_affiliation_strings":["Department of Statistics and Operations Research, College of Science, King Saud University 3 , P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, College of Science, King Saud University 3 , P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018904949","display_name":"Oluwafemi Samson Balogun","orcid":"https://orcid.org/0000-0002-8870-9692","observed_orcids":["https://orcid.org/0000-0002-8870-9692"]},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Oluwafemi Samson Balogun","raw_affiliation_strings":["Department of Computing, University of Eastern Finland 4 , FI-70211 Kuopio, Finland"],"raw_orcid":"https://orcid.org/0000-0002-8870-9692","affiliations":[{"raw_affiliation_string":"Department of Computing, University of Eastern Finland 4 , FI-70211 Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083574014","display_name":"Mintod\u00ea Nicod\u00e8me Atchad\u00e9","orcid":"https://orcid.org/0000-0002-5507-6251","observed_orcids":["https://orcid.org/0000-0002-5507-6251"]},"institutions":[{"id":"https://openalex.org/I4210134560","display_name":"National University of Sciences, Technologies, Engineering and Mathematics","ror":"https://ror.org/0421qr997","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210134560"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Mintod\u00ea Nicod\u00e8me Atchad\u00e9","raw_affiliation_strings":["National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics 5 , Abomey, Benin Republic"],"raw_orcid":"https://orcid.org/0000-0002-5507-6251","affiliations":[{"raw_affiliation_string":"National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics 5 , Abomey, Benin Republic","institution_ids":["https://openalex.org/I4210134560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113153681","display_name":"Eslam Hussam","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I84058292","display_name":"Helwan University","ror":"https://ror.org/00h55v928","country_code":"EG","type":"education","lineage":["https://openalex.org/I84058292"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Eslam Hussam","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Helwan University 6 , Cairo, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-2527-5938","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Helwan University 6 , Cairo, Egypt","institution_ids":["https://openalex.org/I84058292"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1350,"currency":"USD","value_usd":1350},"apc_paid":{"value":1350,"currency":"USD","value_usd":1350},"fwci":5.3586,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.97299383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"13","issue":"9","first_page":null,"last_page":null},"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/T13500","display_name":"Probability and Statistical Research","score":9.999999747378752e-05,"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/T11720","display_name":"Probability and Risk Models","score":0.0,"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/bounded-distributions","display_name":"bounded distributions","score":0.902999997138977},{"id":"https://openalex.org/keywords/quantile-function","display_name":"quantile function","score":0.7689999938011169},{"id":"https://openalex.org/keywords/moments","display_name":"moments","score":0.9480000138282776},{"id":"https://openalex.org/keywords/incomplete-moments","display_name":"incomplete moments","score":0.9990000128746033},{"id":"https://openalex.org/keywords/mean-residual-life","display_name":"mean residual life","score":0.9959999918937683},{"id":"https://openalex.org/keywords/lorenz-curve","display_name":"Lorenz curve","score":0.9520000219345093},{"id":"https://openalex.org/keywords/bonferroni-curve","display_name":"Bonferroni curve","score":0.996999979019165},{"id":"https://openalex.org/keywords/order-statistics","display_name":"order statistics","score":0.9980000257492065},{"id":"https://openalex.org/keywords/hazard-function","display_name":"hazard function","score":0.7979999780654907},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.6850000023841858},{"id":"https://openalex.org/keywords/quantile-regression","display_name":"quantile regression","score":0.9390000104904175},{"id":"https://openalex.org/keywords/covid-19-data","display_name":"COVID-19 data","score":0.8149999976158142},{"id":"https://openalex.org/keywords/educational-data","display_name":"educational data","score":0.9459999799728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6548029184341431},{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.6225028038024902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5880803465843201},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5696188807487488},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4954289197921753},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47823232412338257},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.47111251950263977},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.44122177362442017},{"id":"https://openalex.org/C63817138","wikidata":"https://www.wikidata.org/wiki/Q3455889","display_name":"Quantile regression","level":2,"score":0.4381653070449829},{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.42900413274765015},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.41380029916763306},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3203996419906616},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.2234894037246704}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1063/5.0170964","doi":"https://doi.org/10.1063/5.0170964","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0170964","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:53803970df8e4e8dab560839c2f90579","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/53803970df8e4e8dab560839c2f90579","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AIP Advances, Vol 13, Iss 9, Pp 095319-095319-23 (2023)","raw_type":"article"},{"id":"doi:10.60692/gzq08-k3484","doi":"https://doi.org/10.60692/gzq08-k3484","is_oa":true,"landing_page_url":"https://doi.org/10.60692/gzq08-k3484","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1063/5.0170964","doi":"https://doi.org/10.1063/5.0170964","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0170964","pdf_url":null,"source":{"id":"https://openalex.org/S189917590","display_name":"AIP Advances","issn_l":"2158-3226","issn":["2158-3226"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","ki-jl-1","norway-1","oarl","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Advances","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8165779987","display_name":null,"funder_award_id":"RSPD2023R1004","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1983211478","https://openalex.org/W1998643818","https://openalex.org/W2009905484","https://openalex.org/W2082842108","https://openalex.org/W2749766418","https://openalex.org/W2963014117","https://openalex.org/W2971089215","https://openalex.org/W2982296872","https://openalex.org/W3013726356","https://openalex.org/W3046899847","https://openalex.org/W3089183272","https://openalex.org/W3105392312","https://openalex.org/W3120794039","https://openalex.org/W3122754428","https://openalex.org/W3131051682","https://openalex.org/W3153890396","https://openalex.org/W3173286186","https://openalex.org/W3177299149","https://openalex.org/W3185059168","https://openalex.org/W3186653746","https://openalex.org/W3194406098","https://openalex.org/W3210684668","https://openalex.org/W3214552377","https://openalex.org/W4200376332","https://openalex.org/W4200472758","https://openalex.org/W4211116065","https://openalex.org/W4221111434","https://openalex.org/W4224296477","https://openalex.org/W4281481149","https://openalex.org/W4281968036","https://openalex.org/W4283643975","https://openalex.org/W4302024165","https://openalex.org/W4307475567","https://openalex.org/W4307545927","https://openalex.org/W4311519171","https://openalex.org/W4312875369","https://openalex.org/W4313186762","https://openalex.org/W4317426020","https://openalex.org/W4367294037","https://openalex.org/W4376634065"],"related_works":["https://openalex.org/W4311519171","https://openalex.org/W4281619267","https://openalex.org/W4384664886","https://openalex.org/W3206303598","https://openalex.org/W4386018044","https://openalex.org/W4221111434","https://openalex.org/W4386495601","https://openalex.org/W4398202840","https://openalex.org/W3173286186","https://openalex.org/W3137841557"],"abstract_inverted_index":{"Here,":[0],"we":[1,15],"present":[2],"a":[3],"new":[4,108,117,141],"bounded":[5],"distribution":[6,142],"known":[7],"as":[8,23],"the":[9,49,54,58,116,129,133,137,140,149],"power":[10],"Lambert":[11],"uniform":[12],"distribution,":[13],"and":[14,32,38,41,53,104,143,151],"deduce":[16],"some":[17,100],"of":[18,48,57,72,102,132,139],"its":[19,68],"statistical":[20],"properties":[21],"such":[22],"quantile":[24,109],"function,":[25],"moments,":[26,28],"incomplete":[27],"mean":[29,33],"residual":[30],"life":[31],"inactivity":[34],"time,":[35],"Lorenz,":[36],"Bonferroni,":[37],"Zenga":[39],"curves,":[40],"order":[42],"statistics.":[43],"We":[44],"presented":[45],"different":[46],"shapes":[47],"probability":[50],"density":[51],"function":[52,56],"hazard":[55],"proposed":[59,88],"model.":[60,89,135],"Eleven":[61],"traditional":[62],"methods":[63],"are":[64,83,97],"used":[65,126],"to":[66,127],"estimate":[67,128],"parameters.":[69],"The":[70,120],"behavior":[71],"these":[73,94],"estimators":[74],"is":[75,112,125,146],"investigated":[76],"using":[77],"simulation":[78],"results.":[79],"Some":[80,90],"actuarial":[81,95],"measures":[82,96],"derived":[84],"mathematically":[85],"for":[86,93,99],"our":[87],"numerical":[91],"computations":[92],"given":[98],"choices":[101],"parameters":[103,131],"significance":[105],"levels.":[106],"A":[107],"regression":[110,134,144],"model":[111],"constructed":[113],"based":[114],"on":[115],"unit":[118],"distribution.":[119],"maximum":[121],"likelihood":[122],"estimation":[123],"method":[124],"unknown":[130],"Furthermore,":[136],"usability":[138],"models":[145],"demonstrated":[147],"with":[148],"COVID-19":[150],"educational":[152],"datasets,":[153],"respectively.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2023-09-21T00:00:00"}