Population Size Estimation with Truncated Data: A Survey

We review the literature for the problem of estimating the size, N, of a finite population. Each member of the population has associated with it a value of a random variable X, and X 1, …, X N are independent and identically distributed with density f(x;θ), θ being unknown. Only those members of the population with X-values in some restricted subset R of the sample space can be observed. The problems discussed here are more closely related to truncated sampling than to traditional population size estimation.