This paper is concerned with the problem of combining a data set that identifies the conditional distribution P (y /x) with one that identi.es the conditional distribution P ( zj x) ; in order to identify the regressions E (yj x; _) _ [E (yj x; z = j) ; j 2 Z] when the conditional distribution P (yj x; z) is unknown. Cross and Manski (2002) studied this problem and showed that the identi.cation region of E (yj x; _) can be precisely calculated, when y has .nite support. Here we generalize Cross and Manski.s result showing that the identi.cation region can be precisely calculated also in the case in which y has in.nite support.
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Paper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number
05-09.