{"id":"https://openalex.org/W4287835454","doi":"https://doi.org/10.3390/axioms11080361","title":"A New Family of Lifetime Models: Theoretical Developments with Applications in Biomedical and Environmental Data","display_name":"A New Family of Lifetime Models: Theoretical Developments with Applications in Biomedical and Environmental Data","publication_year":2022,"publication_date":"2022-07-25","ids":{"openalex":"https://openalex.org/W4287835454","doi":"https://doi.org/10.3390/axioms11080361"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11080361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080361","pdf_url":"https://www.mdpi.com/2075-1680/11/8/361/pdf?version=1658817551","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/2075-1680/11/8/361/pdf?version=1658817551","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029121877","display_name":"Ibrahim Elbatal","orcid":"https://orcid.org/0000-0003-3479-5967"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]},{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Ibrahim Elbatal","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]},{"raw_affiliation_string":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055042534","display_name":"Sadaf Khan","orcid":"https://orcid.org/0000-0002-0258-5124"},"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":"Sadaf Khan","raw_affiliation_strings":["Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110282470","display_name":"Tassaddaq Hussain","orcid":null},"institutions":[{"id":"https://openalex.org/I69716792","display_name":"Mirpur University of Science and Technology","ror":"https://ror.org/04qjkhc08","country_code":"PK","type":"education","lineage":["https://openalex.org/I69716792"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Tassaddaq Hussain","raw_affiliation_strings":["Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, Pakistan","institution_ids":["https://openalex.org/I69716792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026468035","display_name":"Mohammed Elgarhy","orcid":"https://orcid.org/0000-0002-1333-3862"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohammed Elgarhy","raw_affiliation_strings":["The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Egypt"],"affiliations":[{"raw_affiliation_string":"The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Egypt","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033179471","display_name":"Naif Alotaibi","orcid":"https://orcid.org/0000-0002-6789-3363"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Naif Alotaibi","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016631336","display_name":"H. E. Semary","orcid":"https://orcid.org/0009-0004-0632-1603"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]},{"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","SA"],"is_corresponding":false,"raw_author_name":"Hatem E. Semary","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","Department of Statistics and Insurance, Faculty of Commerce, Zagazig University, Zagazig 44511, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]},{"raw_affiliation_string":"Department of Statistics and Insurance, Faculty of Commerce, Zagazig University, Zagazig 44511, Egypt","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055182747","display_name":"Mahmoud M. Abdelwahab","orcid":"https://orcid.org/0000-0001-5758-1035"},"institutions":[{"id":"https://openalex.org/I4210139959","display_name":"High Institute for Management Sciences","ror":"https://ror.org/04tcyer40","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210139959"]},{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Mahmoud M. Abdelwahab","raw_affiliation_strings":["Department of Basic, Sciences Higher Institute of Administrative Sciences, Osim, Cairo 12961, Egypt","Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Basic, Sciences Higher Institute of Administrative Sciences, Osim, Cairo 12961, Egypt","institution_ids":["https://openalex.org/I4210139959"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5026468035"],"corresponding_institution_ids":[],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.9377,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.964751,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"11","issue":"8","first_page":"361","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9923999905586243,"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":0.9922999739646912,"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/bonferroni-correction","display_name":"Bonferroni correction","score":0.6095404624938965},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5967684388160706},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4942188560962677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46663767099380493},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.4449618458747864},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.44135624170303345},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.39605242013931274},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3946647346019745},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36077338457107544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35759076476097107},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11771348118782043},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10655790567398071}],"concepts":[{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.6095404624938965},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5967684388160706},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4942188560962677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46663767099380493},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.4449618458747864},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.44135624170303345},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39605242013931274},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3946647346019745},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36077338457107544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35759076476097107},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11771348118782043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10655790567398071}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11080361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080361","pdf_url":"https://www.mdpi.com/2075-1680/11/8/361/pdf?version=1658817551","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:38a3c7b1191d47f4a3701fdf02564a34","is_oa":true,"landing_page_url":"https://doaj.org/article/38a3c7b1191d47f4a3701fdf02564a34","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":"Axioms, Vol 11, Iss 8, p 361 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/8/361/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11080361","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 11; Issue 8; Pages: 361","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11080361","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11080361","pdf_url":"https://www.mdpi.com/2075-1680/11/8/361/pdf?version=1658817551","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":[{"display_name":"Responsible consumption and production","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/12"},{"display_name":"Life in Land","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4287835454.pdf","grobid_xml":"https://content.openalex.org/works/W4287835454.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W83129845","https://openalex.org/W120429982","https://openalex.org/W1496753898","https://openalex.org/W1658049058","https://openalex.org/W1830719945","https://openalex.org/W1964366808","https://openalex.org/W1975183665","https://openalex.org/W1991231530","https://openalex.org/W1999680912","https://openalex.org/W2010620229","https://openalex.org/W2062567673","https://openalex.org/W2143902124","https://openalex.org/W2157230072","https://openalex.org/W2168504156","https://openalex.org/W2179148718","https://openalex.org/W2186238461","https://openalex.org/W2293758055","https://openalex.org/W2322557778","https://openalex.org/W2472913013","https://openalex.org/W2473549009","https://openalex.org/W2619400090","https://openalex.org/W2620601502","https://openalex.org/W2761846289","https://openalex.org/W2767600173","https://openalex.org/W2768770896","https://openalex.org/W2884746707","https://openalex.org/W2886856986","https://openalex.org/W2945677961","https://openalex.org/W2947023052","https://openalex.org/W2949955647","https://openalex.org/W2970701447","https://openalex.org/W2985217753","https://openalex.org/W2990136089","https://openalex.org/W2998859999","https://openalex.org/W3011572467","https://openalex.org/W3012029940","https://openalex.org/W3035149569","https://openalex.org/W3035507401","https://openalex.org/W3083325841","https://openalex.org/W3091593397","https://openalex.org/W3210684668","https://openalex.org/W4224617588","https://openalex.org/W4229375073","https://openalex.org/W4242533288","https://openalex.org/W4281688048","https://openalex.org/W4281724040","https://openalex.org/W4288100482","https://openalex.org/W6636957837","https://openalex.org/W6692765441","https://openalex.org/W6744847085","https://openalex.org/W6745830497","https://openalex.org/W6783128047","https://openalex.org/W6841114464"],"related_works":["https://openalex.org/W2390064908","https://openalex.org/W2917228042","https://openalex.org/W2564440352","https://openalex.org/W4253992846","https://openalex.org/W2239990209","https://openalex.org/W2901814704","https://openalex.org/W2461483947","https://openalex.org/W2026314750","https://openalex.org/W2106834122","https://openalex.org/W2028804942"],"abstract_inverted_index":{"With":[0],"the":[1,13,66,82,107,111,125,130,134],"aim":[2],"of":[3,16,30,36,62,74,81,129],"identifying":[4],"a":[5,43,59],"probability":[6],"model":[7],"that":[8],"not":[9],"only":[10],"correctly":[11],"describes":[12],"stochastic":[14,136],"behavior":[15],"extreme":[17],"environmental":[18],"factors":[19],"such":[20,85],"as":[21,50,52,65,86],"excess":[22],"rain,":[23],"acid":[24],"rain":[25],"pH":[26],"level,":[27],"and":[28,38,90,95,97,127],"concentrations":[29,35],"ozone,":[31],"but":[32],"also":[33,123],"measures":[34],"NO2":[37],"leads":[39],"deliberations,":[40],"etc.,":[41],"for":[42,53],"specific":[44],"site":[45,48],"or":[46],"multiple":[47],"forms":[49],"well":[51],"life":[54],"testing":[55],"experiments,":[56],"we":[57],"introduced":[58],"novel":[60],"class":[61,76,132],"distributions":[63],"known":[64],"Sine":[67],"Burr":[68],"X\u2212G":[69],"family.":[70],"Some":[71],"exceptional":[72],"prototypes":[73],"this":[75],"are":[77,100],"proposed.":[78,101],"Statistical":[79],"assets":[80],"presented":[83],"class,":[84],"density":[87],"function,":[88],"complete":[89],"incomplete":[91],"moments,":[92],"average":[93],"deviation,":[94],"Lorenz":[96],"Bonferroni":[98],"graphs,":[99],"Parameter":[102],"estimation":[103],"is":[104,113],"made":[105],"via":[106],"likelihood":[108],"method.":[109],"Moreover,":[110],"application":[112],"explained":[114],"by":[115],"using":[116],"four":[117],"real":[118],"data":[119],"sets.":[120],"We":[121],"have":[122],"illustrated":[124],"significance":[126],"elasticity":[128],"proposed":[131],"in":[133],"above-mentioned":[135],"phenomenon.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2022-07-26T00:00:00"}