Comparing concentration properties of uniform sampling with and without replacement has a long history which can be traced back to the pioneer work of Hoeffding (1963). The goal of this note is to ...

A general rule is proved for estimating the variance in multistage designs when the primary sampling units (psu's) are selected without replacement with unequal probabilities. The rule is used for ...

Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783. The next display shows a histogram of the population.