ABSTRACT
We let Y designate the number of items inspected in order to reach a decision with respect to acceptance or rejection of a given lot. Thus Y is a discrete random variable that may assume the values k, k + 1, . . , n, where
n=k+K-1 and k<K. (14.1.1) Sampling may thus be terminated with rejection after inspecting as few as k
items from a lot, but in no case will the number inspected exceed n as given by (14.1.1). As described here, sampling plans are fully specified by the rejection and acceptance numbers k and K. However, this description is equivalent to that of the usual single-stage acceptance sampling plan in which n and k are specified. In this latter case, K = n - k + 1. As a result of this equivalency relationship, the operating characteristics of the truncated samples are the same as those of corresponding fixed-size single-stage samples.
