{"id":"https://openalex.org/W2906865675","doi":"https://doi.org/10.21608/joems.2018.2649.1035","title":"ON NRBUL CLASS OF LIFE DISTRIBUTIONS","display_name":"ON NRBUL CLASS OF LIFE DISTRIBUTIONS","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2906865675","doi":"https://doi.org/10.21608/joems.2018.2649.1035","mag":"2906865675"},"language":"en","primary_location":{"id":"doi:10.21608/joems.2018.2649.1035","doi":"https://doi.org/10.21608/joems.2018.2649.1035","is_oa":true,"landing_page_url":"https://doi.org/10.21608/joems.2018.2649.1035","pdf_url":"https://joems.journals.ekb.eg/article_23158_cb365d71d95de4f0c483cb90aea74759.pdf","source":{"id":"https://openalex.org/S2764602973","display_name":"Journal of the Egyptian Mathematical Society","issn_l":"1110-256X","issn":["1110-256X","2090-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Egyptian Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://joems.journals.ekb.eg/article_23158_cb365d71d95de4f0c483cb90aea74759.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112988256","display_name":"M. Mahmoud","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M. Mahmoud","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Al-Azhar University,\nNasr City (11884), Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Al-Azhar University,\nNasr City (11884), Cairo, Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"middle","author":{"id":null,"display_name":"E. Hassan","orcid":null,"observed_orcids":[]},"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":"E. Hassan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zagazig University, Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zagazig University, Cairo, Egypt","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077204391","display_name":"A. M. Gadallah","orcid":"https://orcid.org/0000-0002-0507-9147","observed_orcids":["https://orcid.org/0000-0002-0507-9147"]},"institutions":[{"id":"https://openalex.org/I4210127389","display_name":"Thebes Academy","ror":"https://ror.org/02fwenk18","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210127389"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"A. Gadallah","raw_affiliation_strings":["Department of Basic Sciences, Thebes Higher Institute for Engineering,\nThebes Academy, Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Thebes Higher Institute for Engineering,\nThebes Academy, Cairo, Egypt","institution_ids":["https://openalex.org/I4210127389"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":625,"currency":"USD","value_usd":625},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"26","issue":"3","first_page":"483","last_page":"490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9970999956130981,"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":0.9970999956130981,"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/T13500","display_name":"Probability and Statistical Research","score":0.0017999999690800905,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/moment-inequalities","display_name":"moment inequalities","score":0.9869999885559082},{"id":"https://openalex.org/keywords/exponentiality-testing","display_name":"exponentiality testing","score":0.8930000066757202},{"id":"https://openalex.org/keywords/pitman-asymptotic-efficiency","display_name":"Pitman asymptotic efficiency","score":0.8920000195503235},{"id":"https://openalex.org/keywords/censored-data","display_name":"censored data","score":0.8240000009536743},{"id":"https://openalex.org/keywords/test-statistics","display_name":"test statistics","score":0.4490000009536743}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8486009836196899},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.7110370397567749},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6652612686157227},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6461722254753113},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.6317689418792725},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.6030792593955994},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5958855152130127},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5023505687713623},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4761638343334198},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4583098888397217},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.32180148363113403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11028224229812622},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08018839359283447},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.21608/joems.2018.2649.1035","doi":"https://doi.org/10.21608/joems.2018.2649.1035","is_oa":true,"landing_page_url":"https://doi.org/10.21608/joems.2018.2649.1035","pdf_url":"https://joems.journals.ekb.eg/article_23158_cb365d71d95de4f0c483cb90aea74759.pdf","source":{"id":"https://openalex.org/S2764602973","display_name":"Journal of the Egyptian Mathematical Society","issn_l":"1110-256X","issn":["1110-256X","2090-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Egyptian Mathematical Society","raw_type":"journal-article"},{"id":"doi:10.60692/hdxpq-z5q59","doi":"https://doi.org/10.60692/hdxpq-z5q59","is_oa":true,"landing_page_url":"https://doi.org/10.60692/hdxpq-z5q59","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/jjtjn-ebh90","doi":"https://doi.org/10.60692/jjtjn-ebh90","is_oa":true,"landing_page_url":"https://doi.org/10.60692/jjtjn-ebh90","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.21608/joems.2018.2649.1035","doi":"https://doi.org/10.21608/joems.2018.2649.1035","is_oa":true,"landing_page_url":"https://doi.org/10.21608/joems.2018.2649.1035","pdf_url":"https://joems.journals.ekb.eg/article_23158_cb365d71d95de4f0c483cb90aea74759.pdf","source":{"id":"https://openalex.org/S2764602973","display_name":"Journal of the Egyptian Mathematical Society","issn_l":"1110-256X","issn":["1110-256X","2090-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Egyptian Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2906865675.pdf","grobid_xml":"https://content.openalex.org/works/W2906865675.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W161493521","https://openalex.org/W1963504662","https://openalex.org/W1977198942","https://openalex.org/W1979300931","https://openalex.org/W2068249290","https://openalex.org/W3041047318","https://openalex.org/W4230730431","https://openalex.org/W4246845213","https://openalex.org/W6604694130"],"related_works":["https://openalex.org/W3180607636","https://openalex.org/W7099291191","https://openalex.org/W2786489915","https://openalex.org/W4224929084","https://openalex.org/W2259023480","https://openalex.org/W161493521","https://openalex.org/W2994494811","https://openalex.org/W1963504662","https://openalex.org/W2256432459","https://openalex.org/W2030024283"],"abstract_inverted_index":{"In":[0],"this":[1,63],"paper,":[2],"moment":[3,50],"inequalities":[4],"for":[5,40,83],"a":[6,80],"new":[7,13,26,37,77,81],"class":[8,27],"of":[9,54,62],"life":[10],"distributions":[11],"called":[12],"renewal":[14],"better":[15],"than":[16],"used":[17],"in":[18],"Laplacetransform":[19],"order":[20],"(NRBUL)":[21],"are":[22,57,65,73],"proposed.":[23,58],"For":[24],"the":[25,29,55,76],"NRBUL,":[28],"preservation":[30],"under":[31],"convolution":[32],"and":[33,70],"mixture":[34],"arestudied.":[35],"A":[36],"test":[38,56,64,82],"statistic":[39],"testing":[41],"exponentiality":[42],"versus":[43],"NRBUL":[44],"is":[45,86],"investigated":[46],"based":[47],"on":[48],"these":[49],"inequalities.Pitman":[51],"asymptotic":[52],"e\u000eciencies":[53],"The":[59],"critical":[60],"values":[61],"tabulated.":[66],"Some":[67],"examples":[68],"forcensored":[69],"non-censored":[71],"data":[72,85],"applied":[74],"to":[75],"test.":[78],"Finally":[79],"censored":[84],"proposed":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-01-11T00:00:00"}