non parametric regression discontinuity with interaction term

[giulia leila]

i am writing to ask if is it possible to do a non parametric regression discontinuity with an interaction term?

I would need anequation

Y= constant + b (Z) + g (marginal values of the regression discontinuity) + d (Z*MV) + k (demographic characteristic) + h (Z* demographic characteristic)+ e

with Z=1 if marginal values of the regression discontinuity>0 and >=0 if marginal values of the regression discontinuity<0.

in this case my interaction coefficient of interest is h.

is it possible to run something like this? and to obtain a non parametric version with robust and ik how can I see the coefficient of the interaction term?

thak you,

[Xiaohui Zhao]

Hi have you solved this problem? I have the same question.