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 ...

Efficiency comparisons are made for the same expected cost between the unbiased estimators, based on the distinct units, in sampling with and without replacement. For the case of equal probability ...

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.