{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T05:47:20Z","timestamp":1771652840928,"version":"3.50.1"},"reference-count":42,"publisher":"Wiley","license":[{"start":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T00:00:00Z","timestamp":1705536000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods"],"published-print":{"date-parts":[[2024,1,18]]},"abstract":"<jats:p>In this study, Secant Kumaraswamy family of distributions is proposed and studied. This is motivated by the fact that no one distribution can model all types of data from different fields. Therefore, there is the need to develop distributions with desirable properties and flexible enough for modelling data exhibiting different characteristics. Some properties of the new family of distributions, including the quantile function, moments, moment generating function, and mean residual life function, are derived. Five special cases of the family of distributions are presented, and their flexibility is shown by the varying degrees of skewness and kurtosis and nonmonotonic hazard rates. The maximum likelihood estimation method is used to obtain estimators of the family of distributions. Two location-scale regression models are developed for the Secant Kumaraswamy Weibull distribution, which is a special case of the family of distributions. Six different real datasets are used to demonstrate the usefulness of the family of distributions and the regression models. The results show that the family of distributions can be used to model real datasets.<\/jats:p>","DOI":"10.1155\/2024\/8925329","type":"journal-article","created":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T18:20:09Z","timestamp":1705602009000},"page":"1-25","source":"Crossref","is-referenced-by-count":3,"title":["Secant Kumaraswamy Family of Distributions: Properties, Regression Model, and Applications"],"prefix":"10.1155","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3712-5013","authenticated-orcid":true,"given":"Salifu","family":"Nanga","sequence":"first","affiliation":[{"name":"Department of Basic Sciences, School of Basic and Biomedical Science, University of Health and Allied Sciences, Ho, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2124-2917","authenticated-orcid":true,"given":"Shei Baba","family":"Sayibu","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, University for Development Studies, Tamale, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9924-7086","authenticated-orcid":true,"given":"Irene Dekomwine","family":"Angbing","sequence":"additional","affiliation":[{"name":"Department of Statistics and Actuarial Science, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-6033-5860","authenticated-orcid":true,"given":"Mubarika","family":"Alhassan","sequence":"additional","affiliation":[{"name":"Department of Statistical Science, Tamale Technical University, Tamale, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdul-Majeed","family":"Benson","sequence":"additional","affiliation":[{"name":"Student Affairs Unit, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0423-8465","authenticated-orcid":true,"given":"Abdul Ghaniyyu","family":"Abubakari","sequence":"additional","affiliation":[{"name":"Department of Statistics and Actuarial Science, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6652-4251","authenticated-orcid":true,"given":"Suleman","family":"Nasiru","sequence":"additional","affiliation":[{"name":"Department of Statistics and Actuarial Science, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/00949650903530745"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s40745-018-0169-9"},{"key":"3","volume-title":"New Trigonometric Classes of Probablilstic Distributions","author":"L. Souza","year":"2015"},{"issue":"2","key":"4","first-page":"63","article-title":"General properties for the Cos-G class of distributions with applications","volume":"2","author":"L. Souza","year":"2019","journal-title":"Eurasian Bulletin of Mathematics"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/2931326"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.32604\/csse.2021.014270"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.sciaf.2022.e01363"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.18187\/pjsor.v18i1.3096"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.3390\/sym14020299"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.3390\/sym15081528"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1080\/27684830.2023.2208935"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.3390\/axioms12090849"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.3390\/sym15071458"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2021.1934700"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2023.3256525"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1115\/1.4010337"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-7152(00)00044-4"},{"issue":"2","key":"18","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1214\/aoms\/1177731607","article-title":"Cumulative frequency functions","volume":"13","author":"I. W. Burr","year":"1942","journal-title":"The Annals of Mathematical Statistics"},{"key":"19","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1098\/rstl.1825.0026","article-title":"On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies","volume":"115","author":"B. Gompertz","year":"1825","journal-title":"Philosophical Transactions of the Royal Society of London"},{"key":"20","first-page":"93","article-title":"Sur la loi de probabilit\u00e9 de l'\u00e9cart maximum","volume":"6","author":"M. Fr\u00e9chet","year":"1927","journal-title":"Annales de la Soci\u00e9t\u00e9 Polonaise de Math\u00e9matique"},{"issue":"5","key":"21","doi-asserted-by":"crossref","first-page":"2172","DOI":"10.1214\/aos\/1069362393","article-title":"On second-order optimality of the observed Fisher information","volume":"25","author":"B. G. Lindsay","year":"1997","journal-title":"Annals of Statistics"},{"key":"22","article-title":"A Bayesian analysis of stress rupture life of Kevlar 49\/epoxy spherical pressure vessels","volume-title":"Proc. Conference on Applications of Statistics\u2019","author":"R. Barlow","year":"1984"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.2991\/jsta.2013.12.3.2"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1080\/09720510.2021.1923944"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.2307\/2347795"},{"issue":"1","key":"26","first-page":"130","article-title":"Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli","volume":"72","author":"T. Bjerkedal","year":"1960","journal-title":"American Journal of Hygiene"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1973.10489124"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.18576\/amis\/160302"},{"key":"29","doi-asserted-by":"crossref","DOI":"10.1201\/9781420035872","volume-title":"Accelerated Life Models: Modeling and Statistical Analysis","author":"V. Bagdonavicius","year":"2001"},{"key":"30","unstructured":"NasiruS.A New Generalization of Transformed-Transformer Family of Distributions, [Ph.D. Thesis]2018Pan African University Insttute for Basic Science, Technology and Innovation"},{"key":"31","article-title":"The Weibull inverted exponential distribution: a generalization of the inverse exponential distribution","author":"P. E. Oguntunde"},{"key":"32","first-page":"123","article-title":"Modified Weibull distribution","volume":"11","author":"A. M. Sarhan","year":"2009","journal-title":"Applied Sciences"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1080\/01966324.2017.1318099"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.5902\/2179460X13194"},{"issue":"5","key":"35","first-page":"34","article-title":"Application of Kumaraswamy inverse exponential distribution to real lifetime data","volume":"56","author":"P. Oguntunde","year":"2017","journal-title":"International Journal of Applied Mathematics and Statistics"},{"issue":"1","key":"36","first-page":"53","article-title":"A new sine-G family of distributions: properties and applications","volume":"7","author":"Z. Mahmood","year":"2019","journal-title":"Bulletin of Computational Applied Mathematics"},{"key":"37","volume-title":"Continuous Univariate Distributions","author":"N. L. Johnson","year":"1995","edition":"2nd"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2018.1487441"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.12988\/ams.2014.44267"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.9734\/BJMCS\/2016\/19958"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.18187\/pjsor.v11i1.863"},{"key":"42","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/2836545"}],"container-title":["Computational and Mathematical Methods"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmm\/2024\/8925329.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmm\/2024\/8925329.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmm\/2024\/8925329.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T18:20:17Z","timestamp":1705602017000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/cmm\/2024\/8925329\/"}},"subtitle":[],"editor":[{"given":"Rajesh","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2024,1,18]]},"references-count":42,"alternative-id":["8925329","8925329"],"URL":"https:\/\/doi.org\/10.1155\/2024\/8925329","relation":{},"ISSN":["2577-7408"],"issn-type":[{"value":"2577-7408","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,18]]}}}