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 ...

Maximum likelihood estimation of the parameters of a statistical model involves maximizing the likelihood or, equivalently, the log likelihood with respect to the parameters. The parameter values at ...

Scientists commonly form histograms of counted events from their data, and extract parameters by fitting to a known model. Anytime a scientist counts photons, molecules, cells or data for individuals ...