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Though it is based on an intuitive notion and entirely empirical, the transformation is shown to have an appropriate justification in providing variance stabilization when viewed from both parametric and nonparametric perspectives. Further, the transformation repairs deficiencies of existing methods for variance stabilization. The transformation proposed is illustrated in a range of examples, and its effectiveness to yield confidence limits having low coverage error is demonstrated in a numerical example.<\/jats:p>","DOI":"10.1111\/j.1467-9868.2006.00544.x","type":"journal-article","created":{"date-parts":[[2006,3,3]],"date-time":"2006-03-03T15:10:01Z","timestamp":1141398601000},"page":"281-303","source":"Crossref","is-referenced-by-count":9,"title":["Variance Stabilization for a Scalar Parameter"],"prefix":"10.1093","volume":"68","author":[{"given":"Thomas J.","family":"DiCiccio","sequence":"first","affiliation":[{"name":"Cornell University , Ithaca , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anna Clara","family":"Monti","sequence":"additional","affiliation":[{"name":"University of Sannio , Benevento , Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G.","family":"Alastair Young","sequence":"additional","affiliation":[{"name":"Imperial College London , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2006,3,3]]},"reference":[{"key":"2023040707474420600_","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1111\/j.2517-6161.1964.tb00553.x","article-title":"An analysis of transformations","volume":"26","author":"Box","year":"1964","journal-title":"J. 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