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In this paper we study the properties of interval estimates which are obtained by drawing a horizontal line across the graph of the likelihood function. An exact evaluation is reported for one case of positive and one of negative binomial sampling, with parameter \u03b8. The attained confidence coefficient \u03b1(\u03b8) is graphed over 0 \u2a7d \u03b8 \u2a7d 1 for these two cases. A brief look is taken at intervals obtained when the random variable is continuous.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1971.tb00877.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T05:23:33Z","timestamp":1544160213000},"page":"256-262","source":"Crossref","is-referenced-by-count":70,"title":["Interval Estimation from the Likelihood Function"],"prefix":"10.1093","volume":"33","author":[{"given":"D. J.","family":"Hudson","sequence":"first","affiliation":[{"name":"Bell Telephone Laboratories, Inc. , Holmdel, New Jersey"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920470725600_rssb00877-cit-0001","doi-asserted-by":"crossref","first-page":"569","DOI":"10.2307\/2982613","article-title":"Comments on Stein's \u201cA remark on the likelihood principle\u201d","volume":"125","author":"Barnard","year":"1962","journal-title":"J. R. Statist. Soc. 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Trans. A"},{"key":"2024090920470725600_rssb00877-cit-0015","volume-title":"Likelihood ratio confidence sets","author":"Spj\u00f8tvoll","year":"1969"},{"key":"2024090920470725600_rssb00877-cit-0016","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1080\/01621459.1969.10500988","article-title":"Examples of likelihoods and comparisons with point estimates and large sample approximations","volume":"64","author":"Sprott","year":"1969","journal-title":"J. Amer. Statist. Ass."},{"key":"2024090920470725600_rssb00877-cit-0017","doi-asserted-by":"crossref","first-page":"565","DOI":"10.2307\/2982612","article-title":"A remark on the likelihood principle","volume":"125","author":"Stein","year":"1962","journal-title":"J. R. Statist. Soc. 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