In Wolter (1986), basic models are presented for representing the coverage of individuals in surveys and censuses of human populations. The models are related to the capture-recapture models employed in estimating the size and density of wildlife populations, to the dual-system models employed in estimating the number of human vital events, and to the log-linear models employed in the analysis of discrete data. This paper builds on the earlier work, extending the basic models to represent the coverage of both housing units and individuals, and in the process one of the key independence assumptions specified in the basic models is relaxed. Section 2 presents the extended model, while the parameter estimators and their properties are discussed in Section 3.