Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 54, No. 4 (2005), pp. 721-737 (17 pages) The paper discusses the estimation of an unknown population size n. Suppose that ...

The focus of this article is on the nature of the likelihood associated with N-mixture models for repeated count data. It is shown that the infinite sum embedded in the likelihood associated with the ...

is the constant scale parameter specified in the method dialog or a value of 1.0 for maximum-likelihood estimation for Poisson or binomial distributions.

and the sum is over all -tuples of nonnegative integers such that and . This is equivalent to summing over all partial family trees for which the first generation sizes take on the values . Denote the ...