Abstract
Considered is the set-up of sampling from a finite population of N (known) units divided into k (unknown) mutually exclusive and exhaustive categories, the ith category possessing N i , (unknown) units, 1 ⩽ i ⩽ k As and when sampling is terminated, some categories may remain undiscovered. A quantity of interest is the probability of discovering a new category when an additional draw is made. We address the problem of estimation of this unknown probability and also that of more general parametric functions. Simple random sampling (with/without replacement) is discussed.
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