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.

Mathematical Proceedings of the Royal Irish Academy, Vol. 99A, No. 2 (Dec., 1999), pp. 171-177 (7 pages) In this paper we derive the exact covariance of some sample moments for 'simple random sampling ...

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Modified efficiency comparisons, which take into consideration the fact that the expected number of distinct units in a with-replacement sample need not be an integer, are made for the same expected ...