“…Following the works of Kaplan and Chen and Zigler, we now consider a more complex structure for the treatment model. More specifically, we assume Z i ∼ Bern ( e i ), where , where X 1 ∼ N (1,1), X 2 ∼ Poisson (2), X 3 ∼ Bernoulli (0.5), X 4 ∼ N (0,1), X 5 ∼ N (1,1), X 6 ∼ N (0,1), and | X 4 | represents the absolute value of X 4 .…”