Corrections to Transparent Parametrizations for Potential Outcomes 
by Richardson, Evans and Robins (2011)

page 578.
In the numerator for the bounds on ACDE_NT(x_0) z_0 should replace z_1 and z_1 should replace z_0.

page 578
In equation (8) the counterfactuals Y_{x} should be Y_{x,z} and for z=0,1 should be added.

[The independences Z _||_ Y_{x,z} do not follow from Z _||_ Y_{x} and (7).]

page 580 

line 19: Z_x should be X_z.