TY - JOUR
AU - Zucchini, Walter
AB - Summary We study the issue of identifiability of mixture models in the context of capture–recapture abundance estimation for closed populations. Such models are used to take account of individual heterogeneity in capture probabilities, but their validity was recently questioned by Link (2003, Biometrics59, 1123–1130) on the basis of their nonidentifiability. We give a general criterion for identifiability of the mixing distribution, and apply it to establish identifiability within families of mixing distributions that are commonly used in this context, including finite and beta mixtures. Our analysis covers binomial and geometrically distributed outcomes. In an example we highlight the difference between the identifiability issue considered here and that in classical binomial mixture models.
TI - On Identifiability in Capture–Recapture Models
JF - Biometrics
DO - 10.1111/j.1541-0420.2006.00637_1.x
DA - 2006-09-01
UR - https://www.deepdyve.com/lp/oxford-university-press/on-identifiability-in-capture-recapture-models-Hh0lnbUS06
SP - 934
VL - 62
IS - 3
DP - DeepDyve
ER -