Distribution of Sample Means Sampling with Replacement 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 ...

In statistical analysis, a sampling distribution examines the range of differences in results obtained from studying multiple samples from a larger population.

A sample (X1,⋯ ,Xn) is drawn from a population of size N. Karlin (1974) conjectured that for any function Φ in a certain class of real-valued functions on the sample space, Eφ (X1,⋯ ,Xn) is at least ...

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 ...