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The uncertainty principle is one of the most fundamental concepts in harmonic analysis. It has many facets and appears in many different forms. In the first two chapters of the thesis, we state the classical uncertainty principle and the Balian-Low t...
This dissertation focuses on developing statistical models to analyze complex data. The motivating applications in this work include infectious disease screening, engineering, and public health problems. Chapters 2 and 3 take a frequentist approach t...
The phrase science fair project likely conjures up images of students working independently on smoldering model volcanoes, catapults, and Rube Goldberg contraptions. To create their projects, students and teachers blindly follow a set of seemingly in...