The Uniformly Minimum Variance Unbiased (UMVU) and the Maximum Likelihood (ML) estimations of R = P(X È Y) and the associated variance are considered for independent discrete random variables X and Y. Assuming a discrete uniform distribution for X and the distribution of Y as a member of the...

The article deals with an optimal response-adaptive design for allocating patients among two competing treatments in a phase III clinical trial. An optimal response-adaptive target is developed for a general class of response distributions subject to two clinically relevant constraints. Various...

Optimal response-adaptive designs have been studied by various authors in the context for allocating patients among two competing treatments in a phase III clinical trial. However, depending on the variabilities of the responses, most of these designs may allocate a smaller number of patients to...

Abstract This article develops multiple dependent state (MDS) sampling inspection plans based on the mean of lifetime quality characteristic that follows non-normal distributions viz., exponential and Lindley distribution. In this plan, the lot quality is measured by the lot mean (𝜇). We have...