On the existence and
uniqueness of the NPMLE in biased sampling
O. Davidov and G. Iliopoulos
Identifiability, existence and uniqueness of the
nonparametric maximum likelihood estimator (NPMLE) in biased sampling models
are thoroughly investigated. The conditions for existence and uniqueness are
considered from a different perspective and proofs are simplified. An extension
to semiparametric models is provided.
Key words and phrases: biased sampling, non-parametric maximum likelihood, semi-parametric models