Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2014

Committee Chair or Co-Chairs

Anant Godbole

Committee Members

Jeff Knisley, Edith Seier, Robert Gardner

Abstract

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.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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