MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Jeff Knisley, Edith Seier, Robert Gardner
We consider discrete and continuous symmetric random variables X taking values in [0; 1], and thus having expected value 1/2. The main thrust of this investigation is to study the correlation between the variance, Var(X) of X and the value of the expected maximum E(Mn) = E(X1,...,Xn) of n independent and identically distributed random variables X1,X2,...,Xn, each distributed as X. Many special cases are studied, some leading to very interesting alternating sums, and some progress is made towards a general theory.
Thesis - Open Access
Adjogah, Benedict E., "Are Highly Dispersed Variables More Extreme? The Case of Distributions with Compact Support" (2014). Electronic Theses and Dissertations. Paper 2382. https://dc.etsu.edu/etd/2382
Copyright by the authors.