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An inequality for random replacement sampling plans |
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| Authors: | George L O'Brien Augustine Wong |
| Abstract: | A sample (X1 …, Xn) is drawn from a population of size N. Karlin (1974) conjectured that for any function ? in a certain class of real-valued functions on the sample space, ? is at least as large for sampling with replacement as for any other random replacement sampling plan. This conjecture is proved under the assumption that ? |
| Keywords: | Random replacement sampling plans finite populations majorization Karlin's conjecture |