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A pest management decision to initiate a control treatment depends upon an accurate estimate of mean pest density. Presence-absence sampling plans significantly reduce sampling efforts to make treatment decisions by using the proportion of infested leaves to estimate mean pest density in lieu of counting individual pests. The use of sequential hypothesis… (More)

We show that the set of vertices in a tree T of smallest weight balance is the (branch weight) centroid. We characterize the set of edges in T with smallest weight-edge difference in terms of the vertices of smallest weight balance. A similar characterization is obtained for the set of edges in T with smallest distance-edge difference in terms of the… (More)

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