Theoretical guarantee of MTD estimation using 3PND
The fundamental principle of a dose-finding study design is to allocate each included subject to the current best estimate of MTD. The central question we may ask here is, “Will the proposed dose-finding algorithm discover the true MTD given a large number of patients, such as 100 patients or even more, say, 1,000 patients?” Although enrolling such a significant number of patients is not practical, one might seriously doubt the proposed design if it fails to detect the MTD even with such an extensive sample size.In the present subsection, we provide a theoretical demonstration that the updated knowledge regarding the MTD, denoted as 