## Abstract

At Carnegie, working with E. G. Olds, I had a small taste of research, partly from my work for Olds and partly from my master’s thesis written with him. Still these did not do much to prepare me for research later. At Princeton, Wilks’s idea was that his students should produce a research paper early on to get them into the swing of such things and also to put Wilks himself in the position of being able to prove to the mathematics faculty, when the question of advancing to the doctoral dissertation came up, that the student could do publishable research. He proposed that I examine the distribution of runs above and below the mean.

## Keywords

Order Statistic Unbiased Estimator True Probability Acceptance Sampling American Soldier
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