{"id":"https://openalex.org/W4319316998","doi":"https://doi.org/10.3390/computation11020026","title":"A New Extension of the Kumaraswamy Generated Family of Distributions with Applications to Real Data","display_name":"A New Extension of the Kumaraswamy Generated Family of Distributions with Applications to Real Data","publication_year":2023,"publication_date":"2023-02-05","ids":{"openalex":"https://openalex.org/W4319316998","doi":"https://doi.org/10.3390/computation11020026"},"language":"en","primary_location":{"id":"doi:10.3390/computation11020026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020026","pdf_url":"https://www.mdpi.com/2079-3197/11/2/26/pdf?version=1676538485","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/2/26/pdf?version=1676538485","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017542184","display_name":"Salma Abbas","orcid":"https://orcid.org/0000-0002-0899-8712"},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Salma Abbas","raw_affiliation_strings":["Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043518836","display_name":"Mustapha Muhammad","orcid":"https://orcid.org/0000-0003-0329-5898"},"institutions":[{"id":"https://openalex.org/I4210128140","display_name":"Guangdong University of Petrochemical Technology","ror":"https://ror.org/030ffke25","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128140"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mustapha Muhammad","raw_affiliation_strings":["Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China","institution_ids":["https://openalex.org/I4210128140"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010653691","display_name":"Farrukh Jamal","orcid":"https://orcid.org/0000-0001-6192-9890"},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Farrukh Jamal","raw_affiliation_strings":["Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083045521","display_name":"Christophe Chesneau","orcid":"https://orcid.org/0000-0002-1522-9292"},"institutions":[{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Chesneau","raw_affiliation_strings":["Department of Mathematics, Universit\u00e9 de Caen Normandie, 14032 Caen, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e9 de Caen Normandie, 14032 Caen, France","institution_ids":["https://openalex.org/I98702875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077072891","display_name":"Isyaku Muhammad","orcid":"https://orcid.org/0000-0002-3899-1626"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I4400573262","display_name":"Kano State Polytechnic","ror":"https://ror.org/034xqwd07","country_code":null,"type":"education","lineage":["https://openalex.org/I4400573262"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Isyaku Muhammad","raw_affiliation_strings":["Department of Mechanical Engineering, School of Technology, Kano State Polytechnic, Kano 700222, Nigeria","School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, School of Technology, Kano State Polytechnic, Kano 700222, Nigeria","institution_ids":["https://openalex.org/I4400573262"]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021541407","display_name":"Mouna Bouchane","orcid":null},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mouna Bouchane","raw_affiliation_strings":["Key Laboratory of Augmented Reality, College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050025, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Augmented Reality, College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050025, China","institution_ids":["https://openalex.org/I94611258"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5010653691"],"corresponding_institution_ids":["https://openalex.org/I174731842"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.5295,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95527339,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"11","issue":"2","first_page":"26","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":1.0,"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":1.0,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9887999892234802,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9793000221252441,"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/exponential-family","display_name":"Exponential family","score":0.8194668292999268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.637820303440094},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.479499876499176},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.4717503488063812},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.4576924741268158},{"id":"https://openalex.org/keywords/natural-exponential-family","display_name":"Natural exponential family","score":0.44244006276130676},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.416224867105484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3759022355079651},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37232980132102966},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3662673830986023},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.130174458026886}],"concepts":[{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.8194668292999268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.637820303440094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.479499876499176},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.4717503488063812},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.4576924741268158},{"id":"https://openalex.org/C60775368","wikidata":"https://www.wikidata.org/wiki/Q17099337","display_name":"Natural exponential family","level":3,"score":0.44244006276130676},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.416224867105484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3759022355079651},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37232980132102966},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3662673830986023},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.130174458026886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11020026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020026","pdf_url":"https://www.mdpi.com/2079-3197/11/2/26/pdf?version=1676538485","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:afa10ac39aca4d678073c2b30fb36ff8","is_oa":true,"landing_page_url":"https://doaj.org/article/afa10ac39aca4d678073c2b30fb36ff8","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 2, p 26 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/2/26/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11020026","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11020026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020026","pdf_url":"https://www.mdpi.com/2079-3197/11/2/26/pdf?version=1676538485","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4319316998.pdf"},"referenced_works_count":94,"referenced_works":["https://openalex.org/W194305686","https://openalex.org/W1589112945","https://openalex.org/W1608414558","https://openalex.org/W1660492679","https://openalex.org/W1728711712","https://openalex.org/W1909248777","https://openalex.org/W1971568850","https://openalex.org/W1973137995","https://openalex.org/W1975413991","https://openalex.org/W1993921219","https://openalex.org/W1997040453","https://openalex.org/W1997568700","https://openalex.org/W1998814010","https://openalex.org/W1999212871","https://openalex.org/W2018745932","https://openalex.org/W2021769813","https://openalex.org/W2028482100","https://openalex.org/W2032558547","https://openalex.org/W2035348982","https://openalex.org/W2046262695","https://openalex.org/W2056760934","https://openalex.org/W2057227391","https://openalex.org/W2063558080","https://openalex.org/W2082795641","https://openalex.org/W2083875149","https://openalex.org/W2084568079","https://openalex.org/W2086693579","https://openalex.org/W2093193141","https://openalex.org/W2094074960","https://openalex.org/W2105739787","https://openalex.org/W2112345887","https://openalex.org/W2114852361","https://openalex.org/W2124170436","https://openalex.org/W2125163896","https://openalex.org/W2138309709","https://openalex.org/W2140291117","https://openalex.org/W2145606257","https://openalex.org/W2149421751","https://openalex.org/W2157230072","https://openalex.org/W2159971383","https://openalex.org/W2163610565","https://openalex.org/W2202287197","https://openalex.org/W2500069828","https://openalex.org/W2520250380","https://openalex.org/W2561683768","https://openalex.org/W2568188667","https://openalex.org/W2570841517","https://openalex.org/W2594625008","https://openalex.org/W2598694153","https://openalex.org/W2613341960","https://openalex.org/W2766013938","https://openalex.org/W2775363893","https://openalex.org/W2782239660","https://openalex.org/W2789753207","https://openalex.org/W2912811020","https://openalex.org/W2935925294","https://openalex.org/W2953865928","https://openalex.org/W2954692424","https://openalex.org/W2991142324","https://openalex.org/W2998057040","https://openalex.org/W3002010877","https://openalex.org/W3007522109","https://openalex.org/W3008640623","https://openalex.org/W3012157825","https://openalex.org/W3020586893","https://openalex.org/W3033456554","https://openalex.org/W3033478935","https://openalex.org/W3098865414","https://openalex.org/W3122332161","https://openalex.org/W3125180093","https://openalex.org/W3133771149","https://openalex.org/W3136213799","https://openalex.org/W3209824335","https://openalex.org/W3210514589","https://openalex.org/W4232704523","https://openalex.org/W4235718602","https://openalex.org/W4246466113","https://openalex.org/W4253871110","https://openalex.org/W4280648619","https://openalex.org/W4297704396","https://openalex.org/W4306725864","https://openalex.org/W4312863001","https://openalex.org/W4399590719","https://openalex.org/W6635194960","https://openalex.org/W6636123087","https://openalex.org/W6648741717","https://openalex.org/W6655164746","https://openalex.org/W6726653413","https://openalex.org/W6730601266","https://openalex.org/W6731723282","https://openalex.org/W6790961974","https://openalex.org/W6805009900","https://openalex.org/W6920847626","https://openalex.org/W7020251266"],"related_works":["https://openalex.org/W2962823242","https://openalex.org/W4235791879","https://openalex.org/W2732416952","https://openalex.org/W2619715168","https://openalex.org/W4253492336","https://openalex.org/W2003245616","https://openalex.org/W2044705817","https://openalex.org/W1994253012","https://openalex.org/W2036166080","https://openalex.org/W3133661354"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"develop":[4],"the":[5,18,22,35,42,67,74,88,134,139],"new":[6,68,75],"extended":[7,69,76],"Kumaraswamy":[8,24,70,77],"generated":[9],"(NEKwG)":[10],"family":[11,25,37],"of":[12,21,34,117,138],"distributions.":[13,80],"It":[14],"aims":[15],"to":[16,90,132],"improve":[17],"modeling":[19],"capability":[20],"standard":[23],"by":[26],"using":[27,122],"a":[28],"one-parameter":[29],"exponential-logarithmic":[30],"transformation.":[31],"Mathematical":[32],"developments":[33],"NEKwG":[36],"are":[38,62,130],"provided,":[39],"such":[40],"as":[41],"probability":[43],"density":[44],"function":[45],"series":[46],"representation,":[47],"moments,":[48],"information":[49],"measure,":[50],"and":[51,64,73,98,108,136,141],"order":[52],"statistics,":[53],"along":[54],"with":[55],"asymptotic":[56],"distribution":[57],"results.":[58],"Two":[59],"special":[60],"distributions":[61],"highlighted":[63],"discussed,":[65],"namely,":[66],"uniform":[71],"(NEKwU)":[72],"exponential":[78],"(NEKwE)":[79],"They":[81],"differ":[82],"in":[83,144],"support,":[84],"but":[85],"both":[86],"have":[87],"features":[89],"generate":[91],"models":[92,143],"that":[93],"accommodate":[94],"versatile":[95],"skewed":[96],"data":[97,128],"non-monotone":[99],"failure":[100],"rates.":[101],"We":[102],"employ":[103],"maximum":[104],"likelihood,":[105],"least-squares":[106],"estimation,":[107],"Bayes":[109],"estimation":[110],"methods":[111,119],"for":[112],"parameter":[113],"estimation.":[114],"The":[115],"performance":[116],"these":[118],"is":[120],"discussed":[121],"simulation":[123],"studies.":[124],"Finally,":[125],"two":[126],"real":[127],"applications":[129],"used":[131],"show":[133],"flexibility":[135],"importance":[137],"NEKwU":[140],"NEKwE":[142],"practice.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}
