Regressions , short and long

  title={Regressions , short and long},
  author={Philip J. Cross and Charles F. Manski},
We study the problem of identi cation of the long regression E(y jx; z) when the short conditional distributions P (y jx) and P (z jx) are known but the long conditional distribution P (y jx; z) is not known. This problem often arises when a researcher utilizes data from two separate data sets. (A leading example is the ecological inference problem of political science, where voting behavior across electoral districts is observed from administrative records, the demographic composition of… CONTINUE READING

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