Author

Bose Falk

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 Advisor

Zhang, Guyoi

First Committee Member (Chair)

Lu, Yan

Second Committee Member

Sonksen, Michael

Language

English

Keywords

generalized confidence intervals, log-normal, carbon reduction commitment, fiducial generalized pivotal quantities, FGPQ

Document Type

Thesis

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