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Abstract:
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Biostatistical applications can aid greatly in the teaching of graduate-level probability theory. For example, consideration of a clinical trial investigator attempting to use past treatment assignments to predict the next assignment leads to formulas for the expected number of returns of random walks. Harmonic regression is a valuable way to investigate circadian rhythms in biological phenomena, but it can also be used to understand the uniqueness of characteristic functions. Other examples are given that highlight the connection between biostatistical applications and probability theory.
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