Doubly Robust estimator combining propensity score and outcome model.
DR = (1/n) Σ [μ₁(Z_i) - μ₀(Z_i) + T_i*(Y_i - μ₁(Z_i))/π(Z_i) - (1-T_i)*(Y_i - μ₀(Z_i))/(1-π(Z_i))]
where μ_t = E[Y|T=t, Z], π = P(T=1|Z)
Doubly Robust estimator combining propensity score and outcome model.
DR = (1/n) Σ [μ₁(Z_i) - μ₀(Z_i) + T_i*(Y_i - μ₁(Z_i))/π(Z_i) - (1-T_i)*(Y_i - μ₀(Z_i))/(1-π(Z_i))]
where μ_t = E[Y|T=t, Z], π = P(T=1|Z)