Abstract
In many situations two populations are compared on the basis of subsets of the available data. If this is done using the same fraction of “best” records, then the expectations of the arithmetic means of these fractions are strictly ordered in magnitude by the ordering of the sample sizes. The results are illustrated with the special cases of the uniform and negative exponential distributions, for which further inequalities are derived.
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English, B.J., Gillett, R. & Phillips, M.J. Inequalities concerning the expected selection differentials. Ann Inst Stat Math 44, 169–175 (1992). https://doi.org/10.1007/BF00048679
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DOI: https://doi.org/10.1007/BF00048679