{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T07:16:40Z","timestamp":1771658200300,"version":"3.50.1"},"reference-count":54,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia","award":["PNURSP2022R299"],"award-info":[{"award-number":["PNURSP2022R299"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The purpose of this study is to propose a novel, general, tractable, fully parametric class for hazard-based and odds-based models of survival regression for the analysis of censored lifetime data, named as the \u201cAmoud class (AM)\u201d of models. This generality was attained using a structure resembling the general class of hazard-based regression models, with the addition that the baseline odds function is multiplied by a link function. The class is broad enough to cover a number of widely used models, including the proportional hazard model, the general hazard model, the proportional odds model, the general odds model, the accelerated hazards model, the accelerated odds model, and the accelerated failure time model, as well as combinations of these. The proposed class incorporates the analysis of crossing survival curves. Based on a versatile parametric distribution (generalized log-logistic) for the baseline hazard, we introduced a technique for applying these various hazard-based and odds-based regression models. This distribution allows us to cover the most common hazard rate shapes in practice (decreasing, constant, increasing, unimodal, and reversible unimodal), and various common survival distributions (Weibull, Burr-XII, log-logistic, exponential) are its special cases. The proposed model has good inferential features, and it performs well when different information criteria and likelihood ratio tests are used to select hazard-based and odds-based regression models. The proposed model\u2019s utility is demonstrated by an application to a right-censored lifetime dataset with crossing survival curves.<\/jats:p>","DOI":"10.3390\/axioms11110606","type":"journal-article","created":{"date-parts":[[2022,11,2]],"date-time":"2022-11-02T06:49:02Z","timestamp":1667371742000},"page":"606","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Amoud Class for Hazard-Based and Odds-Based Regression Models: Application to Oncology Studies"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4905-0044","authenticated-orcid":false,"given":"Abdisalam Hassan","family":"Muse","sequence":"first","affiliation":[{"name":"Institute for Basic Sciences, Pan African University, Technology and Innovation (PAUSTI), Nairobi 62000-00200, Kenya"},{"name":"Faculty of Science and Humanities, School of Postgraduate Studies and Research, Amoud University, Borama 25263, Somalia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9703-6514","authenticated-orcid":false,"given":"Samuel","family":"Mwalili","sequence":"additional","affiliation":[{"name":"Department of Statistics and Actuarial Science, Jomo Kenyatta University of Agriculture and Technology (JKUAT), Nairobi 62000-00200, Kenya"}]},{"given":"Oscar","family":"Ngesa","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physical Sciences, Taita Taveta University, Voi 635-80300, Kenya"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1522-9292","authenticated-orcid":false,"given":"Christophe","family":"Chesneau","sequence":"additional","affiliation":[{"name":"Department of Mathematics, LMNO, CNRS-Universit\u00e9 de Caen, Campus II, Science 3, 14032 Caen, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5154-7477","authenticated-orcid":false,"given":"Huda M.","family":"Alshanbari","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2853-0762","authenticated-orcid":false,"given":"Abdal-Aziz H.","family":"El-Bagoury","sequence":"additional","affiliation":[{"name":"Basic Science Department, Higher Institute of Engineering and Technology, El-Mahala El-Kobra 6734723, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.2517-6161.1972.tb00899.x","article-title":"Regression models and life-tables","volume":"34","author":"Cox","year":"1972","journal-title":"J. R. Stat. Soc. Ser. B"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2404","DOI":"10.1177\/0962280218782293","article-title":"On a general structure for hazard-based regression models: An application to population-based cancer research","volume":"28","author":"Rubio","year":"2019","journal-title":"Stat. 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