The use of uncertainty to choose matching variables in statistical matching

Statistical matching (sometimes called data fusion, synthetical matching) aims at combining information available in distinct sample surveys referred to the same target population. Formally, let Y and Z be two random variables; statistical matching aims at estimating the joint (Y, Z) distribution function (e.g. a contingency table or a regression coefficient) or some of its parameters when: (i) Y and Z are not jointly observed in a survey, but Y is observed in a sample A, of size A n , and Z is observed in a sample B, of