We study several group testing models with and without processing times.The objective is to choose an optimal group size for pooled screening of a contaminated population so as to collect a prespeciffied number of good items from it with minimumtesting expenditures.The tested groups that are...

Based on a type-2 censored sample we consider a likelihood-based inference for the reliability parameter R(t) of the location and scale exponential distribution.More specifically, we derive the profile and marginal likelihoods of R(t).A numerical example is presented demonstrating the flavor of...

Length-biased sampling situations may occur in clinical trials, reliability, queueing models, survival analysis and population studies where a proper sampling frame is absent.In such situations items are sampled at rate proportional to their length so that larger values of the quantity being...

This work deals with service provision to remote customers.Two examples are: (i) a manufacturer that has to deliver items to customers in a remote destination, and (ii) a company that provides repair and replacement service to distant clients.In both cases the remoteness of customers suggests...