In this paper we consider a family of sampling designs for which increasing first-order inclusion probabilities imply, in a specific sense, increasing conditional inclusion probabilities. It is proved ...
A sample (X1,⋯ ,Xn) is drawn from a population of size N. Karlin (1974) conjectured that for any function Φ in a certain class of real-valued functions on the sample space, Eφ (X1,⋯ ,Xn) is at least ...
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