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Communications in Statistics - Theory and Methods, Vol. 27, No. 8. (1 January 1998), pp. 1895-1904, doi:10.1080/03610929808832197 Key: citeulike:11862037
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The object of this paper is to explain the role played by the catchability and sampling in the Bayesian estimation of k, the unknown number of classes in a multinomial population. It is shown that the posterior distribution of k increases as the capture probabilities of the classes become more unequal, and that the posterior distribution of k increases with the number of classes observed in the sample and decreases with the sample size. Moreover, it is shown that the posterior mean of k is consistent.
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