{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,14]],"date-time":"2025-06-14T12:25:35Z","timestamp":1749903935810,"version":"3.37.3"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T00:00:00Z","timestamp":1635379200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004054","name":"King Abdulaziz University","doi-asserted-by":"publisher","award":["KEP\u2013PhD-69-130-42"],"award-info":[{"award-number":["KEP\u2013PhD-69-130-42"]}],"id":[{"id":"10.13039\/501100004054","id-type":"DOI","asserted-by":"publisher"}]},{"name":"DSR","award":["KEP\u2013PhD-69-130-42"],"award-info":[{"award-number":["KEP\u2013PhD-69-130-42"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Scientific Programming"],"published-print":{"date-parts":[[2021,10,28]]},"abstract":"In this manuscript, we investigate the estimation of the unknown reliability measure R\u2009=\u2009P [Y\u2009<\u2009X], in the case where Y and X are two independent random variables with Topp\u2013Leone distributions. As the main contribution, various advanced sampling strategies are studied. The suggested strategies are simple random, ranked set, and median ranked set samplings. Firstly, based on the maximum likelihood, we give an efficient estimator of R when the observations of the two random variables are selected from the same simple random sample. Secondly, such an estimator is addressed when the observations of the two random variables are selected from the ranked set sampling method. Then, based on median ranked set sampling, the maximum likelihood estimator of R is addressed in all the four cases. When the observations from the two random variables are selected from the same set size, two cases are considered, while the other two cases are considered at different set sizes. A simulation research is developed to evaluate the behavior of the obtained estimates based on standard and median ranked set samplings with their simple random sampling equivalents. The ratio of mean square error is used to assess the effectiveness of these estimates.<\/jats:p>","DOI":"10.1155\/2021\/2404997","type":"journal-article","created":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T18:08:21Z","timestamp":1635444501000},"page":"1-13","source":"Crossref","is-referenced-by-count":5,"title":["A New Estimation Study of the Stress-Strength Reliability for the Topp\u2013Leone Distribution Using Advanced Sampling Methods"],"prefix":"10.1155","volume":"2021","author":[{"given":"Abdullah M.","family":"Almarashi","sequence":"first","affiliation":[{"name":"Faculty of Science, Department of Statistis, King Abdulaziz University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali","family":"Algarni","sequence":"additional","affiliation":[{"name":"Faculty of Science, Department of Statistis, King Abdulaziz University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amal S.","family":"Hassan","sequence":"additional","affiliation":[{"name":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1333-3862","authenticated-orcid":true,"given":"M.","family":"Elgarhy","sequence":"additional","affiliation":[{"name":"The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Algarbia, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6192-9890","authenticated-orcid":true,"given":"Farrukh","family":"Jamal","sequence":"additional","affiliation":[{"name":"Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christophe","family":"Chesneau","sequence":"additional","affiliation":[{"name":"Universit\u00b4e de Caen, LMNO, Campus II, Science 3, 14032, Caen, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khudir","family":"Alrashidi","sequence":"additional","affiliation":[{"name":"Faculty of Science, Department of Statistis, King Abdulaziz University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5081-741X","authenticated-orcid":true,"given":"Wali Khan","family":"Mashwani","sequence":"additional","affiliation":[{"name":"Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat 26000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heba F.","family":"Nagy","sequence":"additional","affiliation":[{"name":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/0266476022000030084"},{"key":"2","doi-asserted-by":"crossref","DOI":"10.1142\/5720","volume-title":"Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications","author":"S. 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