ABSTRACT
This chapter extends the generalised A. Chao estimator to include more than two counts. It refers the reader to D. Bohning for the motivation and the derivation of Chao's estimator from the likelihood of a truncated Poisson distribution based on individuals captured once or twice. The chapter extends the likelihood framework to use truncated models with K counts. It presents the methodology to include covariate information to explain heterogeneity at an individual level and increase the number of counts used in the calculations. An analytical formula for the variance presented in the chapter shows the performance of the proposed estimator under several scenarios. The chapter finishes with the application of the estimator in a case study.
