{"id":"https://openalex.org/W2990136089","doi":"https://doi.org/10.3390/e21121177","title":"A New Power Topp\u2013Leone Generated Family of Distributions with Applications","display_name":"A New Power Topp\u2013Leone Generated Family of Distributions with Applications","publication_year":2019,"publication_date":"2019-11-29","ids":{"openalex":"https://openalex.org/W2990136089","doi":"https://doi.org/10.3390/e21121177","mag":"2990136089"},"language":"en","primary_location":{"id":"doi:10.3390/e21121177","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121177","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1177/pdf?version=1575366964","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/12/1177/pdf?version=1575366964","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063078954","display_name":"Rashad A. R. Bantan","orcid":"https://orcid.org/0000-0002-0226-0418"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Rashad A. R. Bantan","raw_affiliation_strings":["Deanship of Scientific Research, King AbdulAziz University, Jeddah 21551, Saudi Arabia","Department of Marine Geology, Faculty of Marine Sience, King AbdulAziz University, Jeddah 21551, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deanship of Scientific Research, King AbdulAziz University, Jeddah 21551, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Marine Geology, Faculty of Marine Sience, King AbdulAziz University, Jeddah 21551, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010653691","display_name":"Farrukh Jamal","orcid":"https://orcid.org/0000-0001-6192-9890"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Farrukh Jamal","raw_affiliation_strings":["Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63100, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-6192-9890","affiliations":[{"raw_affiliation_string":"Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63100, Pakistan","institution_ids":[]}]},{"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":true,"raw_author_name":"Christophe Chesneau","raw_affiliation_strings":["Department of Mathematics, Universit\u00e9 de Caen, LMNO, Campus II, Science 3, 14032 Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e9 de Caen, LMNO, Campus II, Science 3, 14032 Caen, France","institution_ids":["https://openalex.org/I98702875"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026468035","display_name":"Mohammed Elgarhy","orcid":"https://orcid.org/0000-0002-1333-3862"},"institutions":[{"id":"https://openalex.org/I4210132304","display_name":"Obour Institutes","ror":"https://ror.org/046ksv218","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210132304"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohammed Elgarhy","raw_affiliation_strings":["Valley High Institute for Management Finance and Information Systems, Obour, Qaliubia 11828, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Valley High Institute for Management Finance and Information Systems, Obour, Qaliubia 11828, Egypt","institution_ids":["https://openalex.org/I4210132304"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083045521"],"corresponding_institution_ids":["https://openalex.org/I98702875"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.054,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.95099038,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"21","issue":"12","first_page":"1177","last_page":"1177"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9861999750137329,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9678000211715698,"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":0.8031823635101318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7437406182289124},{"id":"https://openalex.org/keywords/natural-exponential-family","display_name":"Natural exponential family","score":0.5994395613670349},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5814358592033386},{"id":"https://openalex.org/keywords/quantile-function","display_name":"Quantile function","score":0.5652582049369812},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.5606318116188049},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5154379606246948},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5106874108314514},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.41982659697532654},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.416729211807251},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3389180898666382},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.3058036267757416},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15567460656166077}],"concepts":[{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.8031823635101318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7437406182289124},{"id":"https://openalex.org/C60775368","wikidata":"https://www.wikidata.org/wiki/Q17099337","display_name":"Natural exponential family","level":3,"score":0.5994395613670349},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5814358592033386},{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.5652582049369812},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.5606318116188049},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5154379606246948},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5106874108314514},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.41982659697532654},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.416729211807251},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3389180898666382},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.3058036267757416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15567460656166077},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e21121177","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121177","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1177/pdf?version=1575366964","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/12/1177/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21121177","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":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514522","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514522","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21121177","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121177","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1177/pdf?version=1575366964","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2990136089.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1498017815","https://openalex.org/W1548669759","https://openalex.org/W1589112945","https://openalex.org/W1995875735","https://openalex.org/W2000821665","https://openalex.org/W2091787970","https://openalex.org/W2101462848","https://openalex.org/W2112105596","https://openalex.org/W2135038690","https://openalex.org/W2143902124","https://openalex.org/W2157230072","https://openalex.org/W2264611592","https://openalex.org/W2275118602","https://openalex.org/W2330804378","https://openalex.org/W2512556785","https://openalex.org/W2529225692","https://openalex.org/W2529725851","https://openalex.org/W2582028950","https://openalex.org/W2620601502","https://openalex.org/W2792417255","https://openalex.org/W2794274922","https://openalex.org/W2884746707","https://openalex.org/W2901026045","https://openalex.org/W2903308429","https://openalex.org/W2903357119","https://openalex.org/W2921410603","https://openalex.org/W2922306123","https://openalex.org/W2924115541","https://openalex.org/W2941368085","https://openalex.org/W2973410595","https://openalex.org/W2985217753","https://openalex.org/W2999550233","https://openalex.org/W3135313513","https://openalex.org/W3137282901","https://openalex.org/W4242533288","https://openalex.org/W4245552223","https://openalex.org/W4301167889","https://openalex.org/W6635194960","https://openalex.org/W6673631949","https://openalex.org/W6680034009","https://openalex.org/W6694840544","https://openalex.org/W6728731415","https://openalex.org/W6749757337","https://openalex.org/W6756689324"],"related_works":["https://openalex.org/W2285952877","https://openalex.org/W4389764777","https://openalex.org/W2014604661","https://openalex.org/W1998648340","https://openalex.org/W1994253012","https://openalex.org/W3012029940","https://openalex.org/W2036166080","https://openalex.org/W4385602114","https://openalex.org/W2999664837","https://openalex.org/W2990136089"],"abstract_inverted_index":{"In":[0],"this":[1,122],"paper,":[2],"we":[3,146],"introduce":[4],"a":[5,13,79,86],"new":[6,51,158,174],"general":[7,69,119],"family":[8,52],"of":[9,16,20,49,89,96,121,128,143,156],"distributions":[10],"obtained":[11],"by":[12],"subtle":[14],"combination":[15],"two":[17,160],"well-established":[18],"families":[19],"distributions:":[21],"the":[22,50,75,90,94,97,102,113,118,124,140,144,153,157,167,173],"so-called":[23],"power":[24],"Topp\u2013Leone-G":[25],"and":[26,42,66,71,74],"inverse":[27,98],"exponential-G":[28],"families.":[29],"Its":[30],"definition":[31],"is":[32,83],"centered":[33],"around":[34],"an":[35],"original":[36],"cumulative":[37],"distribution":[38,100],"function":[39,65],"involving":[40],"exponential":[41],"polynomial":[43],"functions.":[44],"Some":[45],"desirable":[46],"theoretical":[47],"properties":[48],"are":[53,170],"discussed":[54],"in":[55,149,176],"full":[56],"generality,":[57],"with":[58,93],"comprehensive":[59],"results":[60],"on":[61],"stochastic":[62],"ordering,":[63],"quantile":[64],"related":[67,72],"measures,":[68,73],"moments":[70],"Shannon":[76],"entropy.":[77],"Then,":[78],"statistical":[80],"parametric":[81],"model":[82,115,175],"constructed":[84],"from":[85],"special":[87],"member":[88],"family,":[91,159],"defined":[92],"use":[95],"Lomax":[99],"as":[101],"baseline":[103],"distribution.":[104],"The":[105],"maximum":[106],"likelihood":[107],"method":[108],"was":[109,136],"applied":[110],"to":[111,138,151,172,178],"estimate":[112],"unknown":[114],"parameters.":[116],"From":[117],"theory":[120],"method,":[123],"asymptotic":[125],"confidence":[126],"intervals":[127],"these":[129],"parameters":[130],"were":[131,164],"deduced.":[132],"A":[133],"simulation":[134],"study":[135],"conducted":[137],"evaluate":[139],"numerical":[141],"behavior":[142],"estimates":[145],"obtained.":[147],"Finally,":[148],"order":[150],"highlight":[152],"practical":[154],"perspectives":[155],"real-life":[161],"data":[162],"sets":[163],"analyzed.":[165],"All":[166],"measures":[168],"considered":[169],"favorable":[171],"comparison":[177],"four":[179],"serious":[180],"competitors.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}