Use of Additional Resources in Finite Population Inference

In the context of survey sampling, we are all familiar with a popular slogan:‘More The Merrier’! Understandably, one is referring to SRSWR/SRSWOR sampling and further, to estimation of a finite population mean by the corresponding sample mean. At times, one is interested in the finite population total instead of the sample mean. We will not make any distinction between the two and ask for any one of the two interchangeably. However, sampling is hardly restricted to this simple-minded phenomenon.