{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:03:48Z","timestamp":1753887828503,"version":"3.41.2"},"reference-count":18,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T00:00:00Z","timestamp":1611187200000},"content-version":"vor","delay-in-days":20,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>A new continuous version of the inverse flexible Weibull model is proposed and studied. Some of its properties such as quantile function, moments and generating functions, incomplete moments, mean deviation, Lorenz and Bonferroni curves, the mean residual life function, the mean inactivity time, and the strong mean inactivity time are derived. The failure rate of the new model can be \u201cincreasing\u2010constant,\u201d \u201cbathtub\u2010constant,\u201d \u201cbathtub,\u201d \u201cconstant,\u201d \u201c<jats:bold>J<\/jats:bold>\u2010HRF,\u201d \u201cupside down bathtub,\u201d \u201cincreasing,\u201d \u201cupside down\u2010increasing\u2010constant,\u201d and \u201cupside down.\u201d Different copulas are used for deriving many bivariate and multivariate type extensions. Different non\u2010Bayesian well\u2010known estimation methods under uncensored scheme are considered and discussed such as the maximum likelihood estimation, Anderson Darling estimation, ordinary least square estimation, Cram\u00e9r\u2010von\u2010Mises estimation, weighted least square estimation, and right tail Anderson Darling estimation methods. Simulation studies are performed for comparing these estimation methods. Finally, two real datasets are analyzed to illustrate the importance of the new model.<\/jats:p>","DOI":"10.1155\/2021\/6657172","type":"journal-article","created":{"date-parts":[[2021,1,22]],"date-time":"2021-01-22T04:20:15Z","timestamp":1611289215000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Lifetime Distribution: Properties, Copulas, Applications, and Different Classical Estimation Methods"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6789-3363","authenticated-orcid":false,"given":"Naif","family":"Alotaibi","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,1,21]]},"reference":[{"key":"e_1_2_12_1_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.4010337"},{"key":"e_1_2_12_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2006.03.004"},{"key":"e_1_2_12_3_2","doi-asserted-by":"publisher","DOI":"10.5120\/20127-2211"},{"key":"e_1_2_12_4_2","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/84.3.641"},{"key":"e_1_2_12_5_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949650903530745"},{"key":"e_1_2_12_6_2","doi-asserted-by":"publisher","DOI":"10.2991\/jsta.2017.16.3.2"},{"key":"e_1_2_12_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2017.1351972"},{"key":"e_1_2_12_8_2","doi-asserted-by":"publisher","DOI":"10.6339\/JDS.201710_15(4).00008"},{"key":"e_1_2_12_9_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2017.1392524"},{"key":"e_1_2_12_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00180-017-0780-9"},{"key":"e_1_2_12_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/09720510.2018.1516725"},{"key":"e_1_2_12_12_2","doi-asserted-by":"publisher","DOI":"10.18576\/jsap\/060114"},{"key":"e_1_2_12_13_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1971.tb00884.x"},{"key":"e_1_2_12_14_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949658808811068"},{"key":"e_1_2_12_15_2","doi-asserted-by":"publisher","DOI":"10.1002\/0471458546"},{"key":"e_1_2_12_16_2","doi-asserted-by":"publisher","DOI":"10.12988\/ams.2014.44267"},{"key":"e_1_2_12_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00362-009-0271-3"},{"key":"e_1_2_12_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/qre.4680090426"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6657172.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6657172.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/6657172","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:41:09Z","timestamp":1723243269000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/6657172"}},"subtitle":[],"editor":[{"given":"Ahmed Mostafa","family":"Khalil","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/6657172"],"URL":"https:\/\/doi.org\/10.1155\/2021\/6657172","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2020-11-08","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-12-29","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-01-21","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"6657172"}}