MODIFIED MARTINGALE ESTIMATION FOR RECAPTURE EXPERIMENTS WITH HETEROGENEOUS CAPTURE PROBABILITIES
BIOMETRIKA | OXFORD UNIV PRESS | Published : 1992
SUMMARY: An estimation method of Lloyd & Yip (1991), based on martingales and the assumption of beta distributed capture probabilities, is modified to improve its performance for all but highly heterogeneous populations. This estimator is compared to the jackknife estimator by simulation under both beta and non-beta conditions. Some expressions for standard error are developed but found to behave poorly for realistic sample sizes. Bootstrap estimates of standard error appear superior but do not lead to accurate confidence intervals because of the difficulties in bias estimation. © 1992 Biometrika Trust.