Distribution of the minimum number of points in a scanning interval on the line

Raymond J. Huntington

Stochastic Processes and their Applications, 1978, vol. 7, issue 1, 73-77

Abstract: Let N points be distributed at random on [0,1), and let y(t) be the number of points in [t,t+p), when p [epsilon] (0,1). For certain step functions, g(t), for all t in [0,1 - p) is found. Choosing g(t)[reverse not equivalent]m results in a multiple comparison test, which may be used to test for differences between any m independent normally distributed means at a given experiment-wide level of significance.

Date: 1978
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