Date of Award

8-2024

Degree Type

Thesis

Degree Name

Master of Science - Mathematical Sciences

Department

College of Science and Mathematics

First Advisor

Robert Henderson

Second Advisor

Jane Long

Third Advisor

Jacob Turner

Fourth Advisor

Jeremy Becnel

Abstract

This study explores innovative approaches to constructing confidence intervals for the population standard deviation, σ, in non-normal data scenarios. While the sample standard deviation, s, is widely used, its reliability is compromised when dealing with skewed or heavy-tailed distributions and exhibits sensitivity to outliers. Our research addresses these limitations by investigating alternative estimation methods that offer greater robustness and accuracy.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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