{"id":"https://openalex.org/W4376954594","doi":"https://doi.org/10.3390/axioms12050477","title":"A New Probability Distribution: Model, Theory and Analyzing the Recovery Time Data","display_name":"A New Probability Distribution: Model, Theory and Analyzing the Recovery Time Data","publication_year":2023,"publication_date":"2023-05-15","ids":{"openalex":"https://openalex.org/W4376954594","doi":"https://doi.org/10.3390/axioms12050477"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12050477","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050477","pdf_url":"https://www.mdpi.com/2075-1680/12/5/477/pdf?version=1684225488","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/5/477/pdf?version=1684225488","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043160779","display_name":"Huda M. Alshanbari","orcid":"https://orcid.org/0000-0001-5154-7477"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Huda M. Alshanbari","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5154-7477","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066844875","display_name":"Omalsad Hamood Odhah","orcid":"https://orcid.org/0000-0001-8518-9831"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Omalsad Hamood Odhah","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-8518-9831","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100746143","display_name":"Zubair Ahmad","orcid":"https://orcid.org/0000-0003-3782-4081"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Zubair Ahmad","raw_affiliation_strings":["Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085372208","display_name":"Faridoon Khan","orcid":"https://orcid.org/0000-0003-4820-8911"},"institutions":[{"id":"https://openalex.org/I189909677","display_name":"Pakistan Institute of Development Economics","ror":"https://ror.org/02bdt4v11","country_code":"PK","type":"education","lineage":["https://openalex.org/I189909677"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Faridoon Khan","raw_affiliation_strings":["Pakistan Institute of Development Economics, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pakistan Institute of Development Economics, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I189909677"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066242432","display_name":"Abd Al-Aziz Hosni El-Bagoury","orcid":"https://orcid.org/0000-0002-2853-0762"},"institutions":[{"id":"https://openalex.org/I4210120363","display_name":"Higher Institute of Engineering","ror":"https://ror.org/02pyw9g57","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210120363"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Abd Al-Aziz Hosni El-Bagoury","raw_affiliation_strings":["Basic Sciences Department, Higher Institute of Engineering and Technology, El-Mahala El-Kobra 31951, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-2853-0762","affiliations":[{"raw_affiliation_string":"Basic Sciences Department, Higher Institute of Engineering and Technology, El-Mahala El-Kobra 31951, Egypt","institution_ids":["https://openalex.org/I4210120363"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100746143"],"corresponding_institution_ids":["https://openalex.org/I12469534"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":6.946,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.97840162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","issue":"5","first_page":"477","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.992900013923645,"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":0.992900013923645,"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/T11186","display_name":"Hydrology and Drought Analysis","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9452999830245972,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.9234024286270142},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5858709812164307},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.57916659116745},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5588405728340149},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5551695823669434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5511977076530457},{"id":"https://openalex.org/keywords/probability-model","display_name":"Probability model","score":0.4404791295528412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.39387214183807373},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3222426772117615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30176740884780884}],"concepts":[{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.9234024286270142},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5858709812164307},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.57916659116745},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5588405728340149},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5551695823669434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5511977076530457},{"id":"https://openalex.org/C2984179964","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Probability model","level":2,"score":0.4404791295528412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39387214183807373},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3222426772117615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30176740884780884},{"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/axioms12050477","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050477","pdf_url":"https://www.mdpi.com/2075-1680/12/5/477/pdf?version=1684225488","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c14b27e5ee224e1cacfda235a2768a88","is_oa":true,"landing_page_url":"https://doaj.org/article/c14b27e5ee224e1cacfda235a2768a88","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,"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":"Axioms, Vol 12, Iss 5, p 477 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/5/477/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12050477","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":"Axioms; Volume 12; Issue 5; Pages: 477","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12050477","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050477","pdf_url":"https://www.mdpi.com/2075-1680/12/5/477/pdf?version=1684225488","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4376954594.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1567539705","https://openalex.org/W1835720201","https://openalex.org/W1907055040","https://openalex.org/W2015294746","https://openalex.org/W2061370661","https://openalex.org/W2090149428","https://openalex.org/W2170989632","https://openalex.org/W2753584957","https://openalex.org/W2793638044","https://openalex.org/W2935925294","https://openalex.org/W2982986264","https://openalex.org/W3010002466","https://openalex.org/W3043640447","https://openalex.org/W3044818386","https://openalex.org/W3045739289","https://openalex.org/W3048651111","https://openalex.org/W3087264703","https://openalex.org/W3126228609","https://openalex.org/W3155624211","https://openalex.org/W3172330532","https://openalex.org/W3174607632","https://openalex.org/W3177299149","https://openalex.org/W3186540961","https://openalex.org/W3202040011","https://openalex.org/W3207525203","https://openalex.org/W4210995429","https://openalex.org/W4280556630","https://openalex.org/W4280601773","https://openalex.org/W4281720433","https://openalex.org/W4287313210","https://openalex.org/W4290652350","https://openalex.org/W4291289968","https://openalex.org/W4297347908","https://openalex.org/W6672988221","https://openalex.org/W6780769475","https://openalex.org/W6783163494","https://openalex.org/W6797520657","https://openalex.org/W6798957761","https://openalex.org/W6838398388"],"related_works":["https://openalex.org/W1975325085","https://openalex.org/W2061488756","https://openalex.org/W2028006048","https://openalex.org/W1620508096","https://openalex.org/W2357734103","https://openalex.org/W1490217699","https://openalex.org/W3195534432","https://openalex.org/W2012284326","https://openalex.org/W2067732275","https://openalex.org/W1953762007"],"abstract_inverted_index":{"Probability":[0],"models":[1,14,31],"are":[2,79,89],"frequently":[3],"used":[4],"in":[5,51,55,129],"numerous":[6,29],"healthcare,":[7],"sports,":[8],"and":[9,36,57,121],"policy":[10],"studies.":[11],"These":[12],"probability":[13,30,46,61],"use":[15],"datasets":[16],"to":[17],"identify":[18],"patterns,":[19],"analyze":[20],"lifetime":[21],"scenarios,":[22],"predict":[23],"outcomes":[24],"of":[25,84,94,118],"interest,":[26],"etc.":[27],"Therefore,":[28],"have":[32],"been":[33],"studied,":[34],"introduced,":[35],"implemented.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"also":[42,101],"propose":[43],"a":[44,65,110],"novel":[45],"model":[47,62,99],"for":[48],"analyzing":[49],"data":[50],"different":[52,130],"sectors,":[53],"particularly":[54],"biomedical":[56],"sports":[58],"sciences.":[59],"The":[60,70,115],"is":[63,100,113],"called":[64],"new":[66,86,96,106],"modified":[67,87,97,107],"exponential-Weibull":[68,88,98,108],"distribution.":[69],"heavy-tailed":[71],"characteristics":[72],"along":[73],"with":[74],"some":[75],"other":[76],"mathematical":[77],"properties":[78],"derived.":[80,90],"Furthermore,":[81],"the":[82,85,95,105,123,127],"estimators":[83],"A":[91],"simulation":[92],"study":[93],"provided.":[102],"To":[103],"illustrate":[104],"model,":[109],"practical":[111],"dataset":[112,116],"analyzed.":[114],"consists":[117],"seventy-eight":[119],"observations":[120],"represents":[122],"recovery":[124],"time":[125],"after":[126],"injuries":[128],"basketball":[131],"matches.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":14}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-05-18T00:00:00"}