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Computing an NPMLE for a Mixing Distribution in Two Closed Heterogeneous Population Size Models

Binomial and geometric mixtures can be used to model data gathered in capture‐recapture surveys of animal populations, removal surveys of harvest populations, registrations of disease populations, ecological species census, and so on. To compute a nonparametric maximum likelihood estimator for the mixing distribution of heterogeneous capture probabilities, we consider a conditional approach and use a reliable and fast integrative procedure which combines the EM algorithm to increase the likelihood and the vertex‐exchange method to update the number of support points. A convergent Newtonian algorithm is used in the M‐step of the EM algorithm. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)