Publication Date
1-28-2015
Abstract
Generalized Confidence Intervals (GCI) can be constructed for cases where an exact confidence interval based on sufficient statistics is not available. In this thesis, we first review three existing tests for log-normal data using the GCI approach. Then we propose fiducial generalized pivotal quantities (FGPQ)-based simultaneous confidence intervals for ratios of log-normal means, and prove that the constructed confidence intervals have correct asymptotic coverage. These methods are then applied to a dataset from the Carbon Reduction Commitment Energy Efficiency Scheme (CRC) to test for differences between energy saving percentages among different groups.
Degree Name
Statistics
Level of Degree
Masters
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Guoyi Zhang
Second Committee Member
Yan Lu
Third Committee Member
Michael D. Sonksen
Language
English
Keywords
generalized confidence intervals, log-normal, carbon reduction commitment, fiducial generalized pivotal quantities, FGPQ
Document Type
Thesis
Recommended Citation
Falk, Bose. "A Generalized Confidence Interval approach to comparing log-normal means, with application." (2015). https://digitalrepository.unm.edu/math_etds/81
