Identifiability from parameter bounds. Structural and numerical aspects.

Abstract

Some a priori and a posterioriaspects of the identifiability problem for unidentifiable models are discussed. It is argued that the nation of identifiability from parameterbounds has a minor a prioristructural relevance. The parameterbounds rationale may prove a useful a posteriorinumerical notion. However, its practical potentiality needs careful evaluation, as the use of point estimates automatically builds into the model some hidden structural constraints. Examples are given