Partial identification in statistical matching with misclassification

The main target of statistical matching is to make inference on variables observed in different sources by using information on common variables. The partial information generally implies that the model is not identifiable. The aim of this paper is to study the case when common variables are affected by a misclassification. The partially identifiable region, that is the class of probabilities extending the conditional probabilities obtained by the information in different sources, is determined. These regions are determined in the general case and under some specific restrictions on the misclassification mechanism. An application to real data is used to show in practice the results achieved in the paper.