Next Article in Journal
Bayesian Inference for the Difference of Two Proportion Parameters in Over-Reported Two-Sample Binomial Data Using the Doubly Sample
Previous Article in Journal
A Support Vector Machine Based Approach for Predicting the Risk of Freshwater Disease Emergence in England
Article Menu

Export Article

Open AccessArticle

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; https://doi.org/10.3390/stats2010008
Received: 22 December 2018 / Revised: 25 January 2019 / Accepted: 3 February 2019 / Published: 6 February 2019
  |  
PDF [737 KB, uploaded 26 February 2019]
  |  

Abstract

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
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Stats EISSN 2571-905X Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top