{"id":"https://openalex.org/W4401647545","doi":"https://doi.org/10.1155/2024/6270350","title":"On Alpha Power Transformation Generalized Pareto Distribution and Some Properties","display_name":"On Alpha Power Transformation Generalized Pareto Distribution and Some Properties","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4401647545","doi":"https://doi.org/10.1155/2024/6270350"},"language":"en","primary_location":{"id":"doi:10.1155/2024/6270350","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/6270350","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/6270350","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/6270350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070207714","display_name":"Salma Omar Bleed","orcid":"https://orcid.org/0000-0002-4410-750X"},"institutions":[{"id":"https://openalex.org/I3132692309","display_name":"Alasmarya Islamic University","ror":"https://ror.org/01gr30f96","country_code":"LY","type":"education","lineage":["https://openalex.org/I3132692309"]}],"countries":["LY"],"is_corresponding":false,"raw_author_name":"Salma Omar Bleed","raw_affiliation_strings":["Department of Statistics ,  College of Science ,  Al-Asmarya University ,  Zliten ,  Libya"],"raw_orcid":"https://orcid.org/0000-0002-4410-750X","affiliations":[{"raw_affiliation_string":"Department of Statistics ,  College of Science ,  Al-Asmarya University ,  Zliten ,  Libya","institution_ids":["https://openalex.org/I3132692309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056873353","display_name":"Rasha Abd El-Wahab Attwa","orcid":null},"institutions":[{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Rasha Abd-Elwahab Attwa","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  Zagazig University ,  Zagazig ,  Egypt ,  zu.edu.eg"],"raw_orcid":"https://orcid.org/0000-0003-3246-1293","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  Zagazig University ,  Zagazig ,  Egypt ,  zu.edu.eg","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114209759","display_name":"Rabeea Farag Meftah Ali","orcid":null},"institutions":[{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Rabeea Farag Meftah Ali","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  Zagazig University ,  Zagazig ,  Egypt ,  zu.edu.eg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  Zagazig University ,  Zagazig ,  Egypt ,  zu.edu.eg","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101652735","display_name":"Taha Radwan","orcid":"https://orcid.org/0000-0003-1466-8821"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I4210092650","display_name":"Buraydah Colleges","ror":"https://ror.org/00j0krs40","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210092650"]},{"id":"https://openalex.org/I88017793","display_name":"Port Said University","ror":"https://ror.org/01vx5yq44","country_code":"EG","type":"education","lineage":["https://openalex.org/I88017793"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Taha Radwan","raw_affiliation_strings":["Department of Management Information Systems ,  College of Business and Economics ,  Qassim University ,  Buraydah ,  Saudi Arabia ,  qu.edu.sa","Department of Mathematics and Statistics ,  Faculty of Management Technology and Information Systems ,  Port Said University ,  Port Said ,  Egypt ,  psu.edu.eg"],"raw_orcid":"https://orcid.org/0000-0003-1466-8821","affiliations":[{"raw_affiliation_string":"Department of Management Information Systems ,  College of Business and Economics ,  Qassim University ,  Buraydah ,  Saudi Arabia ,  qu.edu.sa","institution_ids":["https://openalex.org/I156216236","https://openalex.org/I4210092650"]},{"raw_affiliation_string":"Department of Mathematics and Statistics ,  Faculty of Management Technology and Information Systems ,  Port Said University ,  Port Said ,  Egypt ,  psu.edu.eg","institution_ids":["https://openalex.org/I88017793"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101652735"],"corresponding_institution_ids":["https://openalex.org/I156216236","https://openalex.org/I4210092650","https://openalex.org/I88017793"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.7008,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.90307305,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"2024","issue":"1","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":0.9998999834060669,"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":0.9998999834060669,"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":0.994700014591217,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9871000051498413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.680306613445282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5886189937591553},{"id":"https://openalex.org/keywords/pareto-distribution","display_name":"Pareto distribution","score":0.5681174993515015},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5547924637794495},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.551820695400238},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5449986457824707},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4956773519515991},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4403141438961029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3644052743911743},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2004241943359375},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1773090958595276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16299280524253845},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10456916689872742},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05827552080154419}],"concepts":[{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.680306613445282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5886189937591553},{"id":"https://openalex.org/C190373308","wikidata":"https://www.wikidata.org/wiki/Q837683","display_name":"Pareto distribution","level":2,"score":0.5681174993515015},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5547924637794495},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.551820695400238},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5449986457824707},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4956773519515991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4403141438961029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3644052743911743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2004241943359375},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1773090958595276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16299280524253845},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10456916689872742},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05827552080154419},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2024/6270350","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/6270350","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/6270350","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:6270350","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2024/6270350.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:06c96901eca7442b93bba4c0da75cf06","is_oa":true,"landing_page_url":"https://doaj.org/article/06c96901eca7442b93bba4c0da75cf06","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":"Journal of Applied Mathematics, Vol 2024 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2024/6270350","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/6270350","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/6270350","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2058793769","display_name":null,"funder_award_id":"QU-APC-2024","funder_id":"https://openalex.org/F4320324403","funder_display_name":"Qassim University"},{"id":"https://openalex.org/G5120360896","display_name":null,"funder_award_id":"QU-APC-2024-9/1","funder_id":"https://openalex.org/F4320324403","funder_display_name":"Qassim University"}],"funders":[{"id":"https://openalex.org/F4320324403","display_name":"Qassim University","ror":"https://ror.org/01wsfe280"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401647545.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1964366808","https://openalex.org/W1976842310","https://openalex.org/W1980787054","https://openalex.org/W1983310679","https://openalex.org/W1986058856","https://openalex.org/W1987420966","https://openalex.org/W1995059026","https://openalex.org/W2036209393","https://openalex.org/W2036983007","https://openalex.org/W2086693579","https://openalex.org/W2092144367","https://openalex.org/W2109882130","https://openalex.org/W2130388500","https://openalex.org/W2142635246","https://openalex.org/W2143902124","https://openalex.org/W2148671745","https://openalex.org/W2168504156","https://openalex.org/W2303422536","https://openalex.org/W2315047081","https://openalex.org/W2473549009","https://openalex.org/W2482565528","https://openalex.org/W2568764091","https://openalex.org/W2606655724","https://openalex.org/W2883351132","https://openalex.org/W2924288445","https://openalex.org/W2952252935","https://openalex.org/W3027065932","https://openalex.org/W3132711205","https://openalex.org/W3199019487","https://openalex.org/W4248705221","https://openalex.org/W4292963524","https://openalex.org/W6792877602"],"related_works":["https://openalex.org/W2047851142","https://openalex.org/W1896412130","https://openalex.org/W2009947662","https://openalex.org/W2094924735","https://openalex.org/W4240829493","https://openalex.org/W3178384524","https://openalex.org/W4399575534","https://openalex.org/W2950549043","https://openalex.org/W2025222650","https://openalex.org/W3120593392"],"abstract_inverted_index":{"Recently,":[0],"the":[1,9,18,26,39,62,68,81,93,102,105,121,124,129,137,148],"need":[2],"to":[3,24],"develop":[4],"statistical":[5,36],"distributions":[6],"has":[7],"become":[8],"most":[10],"important":[11],"spot.":[12],"In":[13,60],"this":[14],"context,":[15],"we":[16,100],"employ":[17],"\u03b1":[19],"\u2010power":[20],"transformation":[21],"(APT)":[22],"method":[23,126],"convert":[25],"generalized":[27],"Pareto":[28,69,84,149],"distribution":[29,41,64,70,107,131,135],"(GPD)":[30],"into":[31],"a":[32,109,133,144],"new":[33],"distribution.":[34,98,150],"Some":[35],"properties":[37],"of":[38,75,104,147],"proposed":[40,63,106],"are":[42],"being":[43],"studied,":[44],"such":[45,79],"as":[46,80],"moments,":[47],"arithmetic":[48],"mean,":[49],"moment\u2010generating":[50],"function,":[51],"random":[52],"variables,":[53],"entropy,":[54],"reliability,":[55],"and":[56,71,92,112,141],"hazard":[57],"function":[58],"(HF).":[59],"addition,":[61],"is":[65,127,132,143],"compared":[66],"with":[67],"some":[72],"other":[73],"forms":[74],"alpha":[76,82,87,94],"power":[77,83,88,95],"distributions,":[78],"(APP)":[85],"distribution,":[86,91],"Rayleigh":[89],"(APR)":[90],"Lomax":[96],"(APL)":[97],"Finally,":[99],"demonstrate":[101],"benefits":[103],"through":[108],"simulation":[110],"study":[111],"two":[113],"real":[114],"data":[115,139],"sets.":[116],"It":[117],"was":[118],"found":[119],"that":[120],"results":[122],"showed":[123],"MLE":[125],"reliable,":[128],"APTGP":[130],"competitive":[134],"for":[136],"aforementioned":[138],"set,":[140],"it":[142],"mirror":[145],"image":[146]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
