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Likelihood Confidence Intervals When Only Ranges Are Available

Institute of Clinical Sciences, Sahlgrenska Academy, University of Gothenburg, 405 30 Gothenburg, Sweden
Stats 2019, 2(1), 104-110;
Received: 22 December 2018 / Revised: 25 January 2019 / Accepted: 3 February 2019 / Published: 6 February 2019
PDF [737 KB, uploaded 26 February 2019]


Research papers represent an important and rich source of comparative data. The change is to extract the information of interest. Herein, we look at the possibilities to construct confidence intervals for sample averages when only ranges are available with maximum likelihood estimation with order statistics (MLEOS). Using Monte Carlo simulation, we looked at the confidence interval coverage characteristics for likelihood ratio and Wald-type approximate 95% confidence intervals. We saw indication that the likelihood ratio interval had better coverage and narrower intervals. For single parameter distributions, MLEOS is directly applicable. For location-scale distribution is recommended that the variance (or combination of it) to be estimated using standard formulas and used as a plug-in. View Full-Text
Keywords: range; likelihood; order statistics; coverage range; likelihood; order statistics; coverage

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Nemes, S. Likelihood Confidence Intervals When Only Ranges Are Available. Stats 2019, 2, 104-110.

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