{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T22:11:52Z","timestamp":1768342312982,"version":"3.49.0"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2021,11,5]],"date-time":"2021-11-05T00:00:00Z","timestamp":1636070400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Digiteknologian TKI-ymparisto project","award":["A74338"],"award-info":[{"award-number":["A74338"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mobile Information Systems"],"published-print":{"date-parts":[[2021,11,5]]},"abstract":"<jats:p>This paper is devoted to a new lifetime distribution having three parameters by compound the exponential model and the transmuted Topp-Leone-G. The new proposed model is called the transmuted Topp-Leone exponential model; it is useful in lifetime data and reliability. The new model is very flexible; its pdf can be right skewness, unimodal, and decreasing shaped, but the hrf of the suggested model can be unimodal, constant, and decreasing. Numerous statistical characteristics of the new model, notably the quantile function, moments, incomplete moments, conditional moments, mean residual life, mean inactivity time, and entropy are produced and investigated. The system\u2019s parameters are estimated using the maximum likelihood approach. All estimators should be theoretically convergent, which is supported by a simulation analysis. Finally, two real-world datasets from the engineering and medical disciplines explore the new model\u2019s relevance and adaptability in comparison to the alternatives models such as the beta exponential, the Marshall\u2013Olkin generalized exponential, the exponentiated Weibull, the modified Weibull, and the transmuted Burr type X models.<\/jats:p>","DOI":"10.1155\/2021\/9550156","type":"journal-article","created":{"date-parts":[[2021,11,6]],"date-time":"2021-11-06T04:05:10Z","timestamp":1636171510000},"page":"1-14","source":"Crossref","is-referenced-by-count":3,"title":["Application to Engineering and Medical Data Using Three-Parameter Exponential Model"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4497-1362","authenticated-orcid":true,"given":"Waleed","family":"Almutiry","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amani","family":"Abdullah Alahmadi","sequence":"additional","affiliation":[{"name":"College of Science and Humanities, Shaqra University, Shaqra, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ibrahim","family":"Elbatal","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ibrahim E.","family":"Ragab","sequence":"additional","affiliation":[{"name":"Higher Institute of Computer, King Mariout, Alexandria 23713, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8870-9692","authenticated-orcid":true,"given":"Oluwafemi","family":"Samson Balogun","sequence":"additional","affiliation":[{"name":"School of Computing, University of Eastern Finland, Kuopio 70211, Northern Europe, Finland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1333-3862","authenticated-orcid":true,"given":"Mohammed","family":"Elgarhy","sequence":"additional","affiliation":[{"name":"The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra, Algarbia 31951, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"2","key":"1","first-page":"64","article-title":"The alchemy of probability distributions: beyond gram-Charlier and Cornish-Fisher expansions, and skew-normal or kurtotic-normal distributions","volume":"7","author":"W. 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