Distributional results for special cases of the Jolly-Seber model

The multinomial-binomial approach to the Jolly-Seber capture-recapture model is used as a basis to derive explicit probability distributions for special cases of the Jolly-Seber model: no recruitment, or no mortality. Also given are the residual distributions that allow tests of these restricted models compared to the general Jolly-Seber model. Losses on capture are allowed. The special case distribution is also derived for no recruitment and no mortality, but allowing losses on capture; this is a generalized version of Darroch's closed capture-recapture model. Here, however, it was not possible to obtain a closed form residual distribution.