{"id":"https://openalex.org/W2057305954","doi":"https://doi.org/10.1109/tr.2014.2299691","title":"A New Discrete Modified Weibull Distribution","display_name":"A New Discrete Modified Weibull Distribution","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2057305954","doi":"https://doi.org/10.1109/tr.2014.2299691","mag":"2057305954"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2014.2299691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2014.2299691","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113459348","display_name":"Saad J. Almalki","orcid":null},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Saad J. Almalki","raw_affiliation_strings":["Department of Mathematics and Statistics, Taif University, Taif, KSA","Dept. of Math. & Stat., Taif Univ., Taif, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Taif University, Taif, KSA","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Dept. of Math. & Stat., Taif Univ., Taif, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012321564","display_name":"Saralees Nadarajah","orcid":"https://orcid.org/0000-0002-0481-0372"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Saralees Nadarajah","raw_affiliation_strings":["School of Mathematics, University of Manchester, Manchester, UK","Sch. of Math., Univ. of Manchester, Manchester, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Sch. of Math., Univ. of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113459348"],"corresponding_institution_ids":["https://openalex.org/I179331831"],"apc_list":null,"apc_paid":null,"fwci":3.3732,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.92664972,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"1","first_page":"68","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9944999814033508,"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/T11186","display_name":"Hydrology and Drought Analysis","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bathtub","display_name":"Bathtub","score":0.9161585569381714},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.9082448482513428},{"id":"https://openalex.org/keywords/exponentiated-weibull-distribution","display_name":"Exponentiated Weibull distribution","score":0.6802284121513367},{"id":"https://openalex.org/keywords/weibull-fading","display_name":"Weibull fading","score":0.6612274050712585},{"id":"https://openalex.org/keywords/hazard","display_name":"Hazard","score":0.5455049276351929},{"id":"https://openalex.org/keywords/failure-rate","display_name":"Failure rate","score":0.5047639608383179},{"id":"https://openalex.org/keywords/weibull-modulus","display_name":"Weibull modulus","score":0.5009360313415527},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4870660603046417},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.48683565855026245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47619450092315674},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4634961783885956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44494205713272095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36207354068756104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1020841896533966}],"concepts":[{"id":"https://openalex.org/C2777728836","wikidata":"https://www.wikidata.org/wiki/Q152095","display_name":"Bathtub","level":2,"score":0.9161585569381714},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.9082448482513428},{"id":"https://openalex.org/C95770405","wikidata":"https://www.wikidata.org/wiki/Q5421539","display_name":"Exponentiated Weibull distribution","level":3,"score":0.6802284121513367},{"id":"https://openalex.org/C64834810","wikidata":"https://www.wikidata.org/wiki/Q7979802","display_name":"Weibull fading","level":5,"score":0.6612274050712585},{"id":"https://openalex.org/C49261128","wikidata":"https://www.wikidata.org/wiki/Q1132455","display_name":"Hazard","level":2,"score":0.5455049276351929},{"id":"https://openalex.org/C163164238","wikidata":"https://www.wikidata.org/wiki/Q2737027","display_name":"Failure rate","level":2,"score":0.5047639608383179},{"id":"https://openalex.org/C130630143","wikidata":"https://www.wikidata.org/wiki/Q7979803","display_name":"Weibull modulus","level":3,"score":0.5009360313415527},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4870660603046417},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.48683565855026245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47619450092315674},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4634961783885956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44494205713272095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36207354068756104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1020841896533966},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2014.2299691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2014.2299691","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1599850012","https://openalex.org/W1650124859","https://openalex.org/W1966082558","https://openalex.org/W1967211488","https://openalex.org/W1968371014","https://openalex.org/W1974503901","https://openalex.org/W1979752425","https://openalex.org/W1979985124","https://openalex.org/W1980041829","https://openalex.org/W1983716031","https://openalex.org/W1986078173","https://openalex.org/W1988976727","https://openalex.org/W1991583830","https://openalex.org/W1993883527","https://openalex.org/W1994147199","https://openalex.org/W2026088383","https://openalex.org/W2029415261","https://openalex.org/W2038289147","https://openalex.org/W2043618624","https://openalex.org/W2063774389","https://openalex.org/W2082910530","https://openalex.org/W2088778725","https://openalex.org/W2110717129","https://openalex.org/W2115478782","https://openalex.org/W2124790653","https://openalex.org/W2142635246","https://openalex.org/W2145606257","https://openalex.org/W2160030153","https://openalex.org/W2160459026","https://openalex.org/W2168175751","https://openalex.org/W2322320258","https://openalex.org/W2999846932","https://openalex.org/W4229628595","https://openalex.org/W4244666394","https://openalex.org/W4255592826","https://openalex.org/W4300478431","https://openalex.org/W6636934867","https://openalex.org/W6643836387"],"related_works":["https://openalex.org/W2966939160","https://openalex.org/W2073570371","https://openalex.org/W2057305954","https://openalex.org/W2908363735","https://openalex.org/W2145606257","https://openalex.org/W1998782763","https://openalex.org/W2938706111","https://openalex.org/W91629956","https://openalex.org/W2938236142","https://openalex.org/W1980041829"],"abstract_inverted_index":{"A":[0],"three-parameter":[1],"discrete":[2,22],"distribution":[3,56],"is":[4,17,57],"introduced":[5],"based":[6],"on":[7],"a":[8],"recent":[9],"modification":[10],"of":[11,19,34,43],"the":[12,41],"continuous":[13],"Weibull":[14],"distribution.":[15],"It":[16],"one":[18],"only":[20],"three":[21,63],"distributions":[23],"allowing":[24,68],"for":[25,69],"bathtub":[26,70],"shaped":[27,71],"hazard":[28,72],"rate":[29,73],"functions.":[30,74],"We":[31],"study":[32],"some":[33],"its":[35],"mathematical":[36],"properties,":[37],"discuss":[38],"estimation":[39],"by":[40],"method":[42],"maximum":[44],"likelihood,":[45],"and":[46],"describe":[47],"applications":[48],"to":[49,59],"four":[50],"real":[51],"data":[52],"sets.":[53],"The":[54],"new":[55],"shown":[58],"outperform":[60],"at":[61],"least":[62],"other":[64],"models":[65],"including":[66],"those":[67]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}