@article {MATHEDUC.06332884,
author = {Murphree, Emily S.},
title = {Replacement costs: the inefficiencies of sampling with replacement.},
year = {2005},
journal = {Mathematics Magazine},
volume = {78},
number = {1},
issn = {0025-570X},
pages = {51-57},
publisher = {Mathematical Association of America (MAA), Washington, DC},
doi = {10.2307/3219274},
abstract = {Summary: When a sample is chosen with replacement, the same item may be chosen several times. The number of distinct items appearing in the sample is a random variable whose properties are explored in this paper. To avoid combinatorial difficulties, the distribution of the number of distinct items is derived by using a Markov chain approach. Expected values are derived from simple properties of Bernoulli random variables. Finally, the distributional results are used to test a random number generator.},
msc2010 = {K65xx},
identifier = {2014f.00824},
}