Capture-recapture methods have been widely used in enumerating a population of size N that is difficult to approach. Ordinarily, the methods are well established to estimate wildlife abundance (Borchers [49]; Seber [259]). A diversity of application areas has adopted capturerecapture methods to estimate missing units as well as the total number in the population. For instance, in social sciences, the interest is in determining the amount of illegal behavior such as driving a car without license or immigrating without permission (van der Heijden et al. [280]). In medical sciences/public health, there is concern about finding the number of illicit drug users as well as estimating the number of outbreaks of particular disease (Gallay et al. [124]; Hook and Regal [148]).