{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T16:53:03Z","timestamp":1775148783845,"version":"3.50.1"},"reference-count":35,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T00:00:00Z","timestamp":1739923200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Appl. Math. Stat."],"abstract":"<jats:p>This article discusses the Lambert-Topp-Leone distribution as a flexible alternative for modeling proportion and lifetime data. By extending the Topp-Leone distribution, the proposed model offers greater flexibility in terms of skewness and kurtosis, making it suitable for a broader range of real-world applications. We examine key properties of the distribution, including its moments and behavior in terms of skewness and kurtosis. Parameter estimation using the maximum likelihood method is also discussed. A Monte Carlo simulation study is conducted to evaluate the performance of the estimators. Finally, to illustrate its practical utility, we apply the Lambert-Topp-Leone distribution to real-world datasets, demonstrating its superior fit for proportion and lifetime data compared to traditional models. The results suggest that this distribution provides a valuable tool for researchers and professionals in fields that require versatile modeling of bounded or positively skewed data.<\/jats:p>","DOI":"10.3389\/fams.2025.1527833","type":"journal-article","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T06:51:13Z","timestamp":1739947873000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["The Lambert-Topp-Leone distribution: an alternative for modeling proportion and lifetime data"],"prefix":"10.3389","volume":"11","author":[{"given":"Juan M.","family":"Astorga","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuri A.","family":"Iriarte","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1965","published-online":{"date-parts":[[2025,2,19]]},"reference":[{"key":"B1","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1080\/01621459.1955.10501259","article-title":"A family of J-shaped frequency functions","volume":"50","author":"Topp","year":"1955","journal-title":"J Am Stat Assoc"},{"key":"B2","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1080\/0266476022000030084","article-title":"Moments of some J-shaped distributions","volume":"30","author":"Nadarajah","year":"2003","journal-title":"J Appl Stat"},{"key":"B3","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1080\/02664760500079613","article-title":"On some reliability measures and their stochastic orderings for the Topp-Leone distribution","volume":"32","author":"Ghitany","year":"2005","journal-title":"J Appl Stat"},{"key":"B4","doi-asserted-by":"crossref","first-page":"p. 175","DOI":"10.1109\/RAMS.2006.1677371","article-title":"Some J-shaped distributions: sums, products and ratios","volume-title":"RAMS'06. 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