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Abstract This paper presents theory for estimation of the proportions of names common to two or more lists of names, through use of samples drawn from the lists. The theory covers (a) the probability distributions, expected values, variances, and the third and fourth moments of the estimates of the proportions duplicated; (b) testing a hypothesis with respect to a proportion; (c) optimum allocation of the samples; (d) the, effect of duplicates within a list; (e) possible gains from stratification. Examples illustrate some of the theory.
Deming et al. (Mon,) studied this question.