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The customary approximate two-sided confidence interval for such a parameter, based on some version of the central limit theorem, is known to be unsatisfactory when its true value is close to zero or one or when the sample size is small. A possible way to tackle this issue is the transformation of the data through a proper function that is able to make the approximation to the normal distribution less coarse. In this paper, we study the application of several of these transformations to the context of the estimation of the reliability parameter for stress-strength models, with a special focus on Poisson distribution. From this work, some practical hints emerge on which transformation may more efficiently improve standard confidence intervals in which scenarios.<\/jats:p>","DOI":"10.1155\/2014\/485629","type":"journal-article","created":{"date-parts":[[2014,10,23]],"date-time":"2014-10-23T21:57:14Z","timestamp":1414101434000},"page":"1-10","source":"Crossref","is-referenced-by-count":4,"title":["Data Transformation for Confidence Interval Improvement: An Application to the Estimation of Stress-Strength Model Reliability"],"prefix":"10.47654","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5072-5662","authenticated-orcid":true,"given":"Alessandro","family":"Barbiero","sequence":"first","affiliation":[{"name":"Department of Economics, Management and Quantitative Methods, Universit\u00e0 degli Studi di Milano, Via Conservatorio, 7-20122 Milan, Italy"}]}],"member":"52777","reference":[{"year":"2003","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.2307\/2685469"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1015362189"},{"issue":"2","key":"4","first-page":"165","volume":"6","year":"2008","journal-title":"REVSTAT Statistical Journal"},{"year":"1995","key":"5"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1142\/9789812564511"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/530530"},{"key":"8","first-page":"302","volume":"41","year":"1954","journal-title":"Biometrika"},{"year":"2005","key":"9"},{"issue":"2","key":"11","doi-asserted-by":"crossref","first-page":"203","DOI":"10.2307\/1402836","volume":"41","year":"1973","journal-title":"International Statistical Review"},{"key":"12"},{"year":"2012","key":"13"},{"year":"2008","key":"14"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-008-0194-2"},{"year":"1984","key":"16"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.5402\/2012\/263612"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2009.12.028"},{"key":"19","first-page":"231","volume-title":"Stress-strength reliability in the Weibull case","volume":"4","year":"1998"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2011.563011"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/00949650410001653142"},{"issue":"1","key":"22","first-page":"47","volume":"64","year":"2006","journal-title":"Metron"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1177\/0962280207087173"},{"issue":"4-5","key":"24","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1017\/S0043174500056824","volume":"38","year":"1990","journal-title":"Weed Science"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1080\/02664763.2011.602055"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2011.560728"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-4541-9"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1080\/00949650902731377"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1638(199909\/10)15:5LTHEXA379::AID-QRE265>3.0.CO;2-H"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/485629.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/485629.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/485629.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:10:08Z","timestamp":1601309408000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2014\/485629\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,23]]},"references-count":28,"alternative-id":["485629","485629"],"URL":"https:\/\/doi.org\/10.1155\/2014\/485629","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"type":"print","value":"2090-3359"},{"type":"electronic","value":"2090-3367"}],"subject":[],"published":{"date-parts":[[2014,10,23]]}}}