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It is argued that a grouped likelihood approach avoids these difficulties, and the practical implementation of this approach is considered. Bayesian inference is also considered, though more briefly, and it is argued that there are again difficulties with an ungrouped likelihood approach. The results provide further evidence of the utility of grouped likelihood approaches to inference in non-regular problems.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1991.tb01839.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:51:01Z","timestamp":1544165461000},"page":"473-482","source":"Crossref","is-referenced-by-count":22,"title":["Grouped Likelihood for the Shifted Power Transformation"],"prefix":"10.1093","volume":"53","author":[{"given":"Anthony C.","family":"Atkinson","sequence":"first","affiliation":[{"name":"London School of Economics and Political Science \u00a0 UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luis R.","family":"Pericchi","sequence":"additional","affiliation":[{"name":"Universidad Simon Bolivar , Caracas , Venezuela"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Richard L.","family":"Smith","sequence":"additional","affiliation":[{"name":"University of Surrey , Guildford , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090921105476900_rssb01839-cit-0001","volume-title":"Plots, Transformations, and Regression.","author":"Atkinson","year":"1985"},{"key":"2024090921105476900_rssb01839-cit-0002","first-page":"27","article-title":"The use of the likelihood function in statistical practice","volume-title":"Proc. 5th Berkeley Symp.","author":"Barnard","year":"1965"},{"key":"2024090921105476900_rssb01839-cit-0003","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1111\/j.2517-6161.1964.tb00553.x","article-title":"An analysis of transformations (with discussion)","volume":"26","author":"Box","year":"1964","journal-title":"J. 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