This paper proposes an aggregable family of multidimensional concentration indices which is characterized in order to be consistent with a property of exogenous risk factors, i.e. health risks for which agents are not responsible for. It is shown that those indices are of interest when individuals face different risk factors, whereas traditional indices fail to deal with heterogeneous agents. In this respect, necessary and suficient conditions are stated in order to rank two health distributions thanks to the generalized concentration curves. An illustration is performed using a sample of individuals living in Luxembourg aged 50 and older.
Keywords: Concentration; Dominance; Health inequality; Luxembourg; Mirror; SHARE; Symmetry.