Variability Orderings Related to Coverage Problems on the Circle.
STANFORD UNIV CA DEPT OF STATISTICS
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Suppose that n arcs with random lengths having distributions F1, F2, ...Fn are placed uniformly and independently on a circle. This article presents inequalities which tell how certain distributions and probabilities change as the variability of the distributions F1, F2, ...Fn is increased. A distribution F is considered to be more variable than G if integral hxdFx or integral hxdGx for all convex functions h. Author
- Statistics and Probability