Mathematical representation of positivity assumption for continuous exposures

[LucyMcGowan]

@bblette1 do you know of a convention for writing the positivity assumption for continuous exposures? Since the probability of having any value in a continuous distribution is 0 I assume it is something like: $f_{x|z} >0$ rather than $0 < P(X|Z) < 1$ ?

[bblette1]

Yeah that's right, in the past I've written it as assuming f(X = x | Z) > 0 for all x where dF(Z) > 0

[LucyMcGowan]

Nice, I’ll update that in the write up rather than the general form I think

[bblette1]

Sounds good. I haven't had time to contribute to the written sections, but hope to do so next week!